Live analysis

1,013,760

1,013,760 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,013,760 (one million thirteen thousand seven hundred sixty) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2¹¹ × 3² × 5 × 11. Its proper divisors sum to 2,819,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7800.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,748 1,013,749 1,013,750 1,013,751 1,013,752 1,013,753 1,013,754 1,013,755 1,013,756 1,013,757 1,013,758 1,013,759 1,013,760 1,013,761 1,013,762 1,013,763 1,013,764 1,013,765 1,013,766 1,013,767 1,013,768 1,013,769 1,013,770 1,013,771 1,013,772

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 673,101
Square (n²): 1,027,709,337,600
Cube (n³): 1,041,850,618,085,376,000
Divisor count: 144
σ(n) — sum of divisors: 3,832,920
φ(n) — Euler's totient: 245,760
Sum of prime factors: 44

Primality

Prime factorization: 2 ¹¹ × 3 ² × 5 × 11

Nearest primes: 1,013,741 (−19) · 1,013,767 (+7)

Divisors & multiples

All divisors (144)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 11 · 12 · 15 · 16 · 18 · 20 · 22 · 24 · 30 · 32 · 33 · 36 · 40 · 44 · 45 · 48 · 55 · 60 · 64 · 66 · 72 · 80 · 88 · 90 · 96 · 99 · 110 · 120 · 128 · 132 · 144 · 160 · 165 · 176 · 180 · 192 · 198 · 220 · 240 · 256 · 264 · 288 · 320 · 330 · 352 · 360 · 384 · 396 · 440 · 480 · 495 · 512 · 528 · 576 · 640 · 660 · 704 · 720 · 768 · 792 · 880 · 960 · 990 · 1024 · 1056 · 1152 · 1280 · 1320 · 1408 · 1440 · 1536 · 1584 · 1760 · 1920 · 1980 · 2048 · 2112 · 2304 · 2560 · 2640 · 2816 · 2880 · 3072 · 3168 · 3520 · 3840 · 3960 · 4224 · 4608 · 5120 · 5280 · 5632 · 5760 · 6144 · 6336 · 7040 · 7680 · 7920 · 8448 · 9216 · 10240 · 10560 · 11264 · 11520 · 12672 · 14080 · 15360 · 15840 · 16896 · 18432 · 21120 · 22528 · 23040 · 25344 · 28160 · 30720 · 31680 · 33792 · 42240 · 46080 · 50688 · 56320 · 63360 · 67584 · 84480 · 92160 · 101376 · 112640 · 126720 · 168960 · 202752 · 253440 · 337920 · 506880 (half) · 1013760

Aliquot sum (sum of proper divisors): 2,819,160

Factor pairs (a × b = 1,013,760)

1 × 1013760

2 × 506880

3 × 337920

4 × 253440

5 × 202752

6 × 168960

8 × 126720

9 × 112640

10 × 101376

11 × 92160

12 × 84480

15 × 67584

16 × 63360

18 × 56320

20 × 50688

22 × 46080

24 × 42240

30 × 33792

32 × 31680

33 × 30720

36 × 28160

40 × 25344

44 × 23040

45 × 22528

48 × 21120

55 × 18432

60 × 16896

64 × 15840

66 × 15360

72 × 14080

80 × 12672

88 × 11520

90 × 11264

96 × 10560

99 × 10240

110 × 9216

120 × 8448

128 × 7920

132 × 7680

144 × 7040

160 × 6336

165 × 6144

176 × 5760

180 × 5632

192 × 5280

198 × 5120

220 × 4608

240 × 4224

256 × 3960

264 × 3840

288 × 3520

320 × 3168

330 × 3072

352 × 2880

360 × 2816

384 × 2640

396 × 2560

440 × 2304

480 × 2112

495 × 2048

512 × 1980

528 × 1920

576 × 1760

640 × 1584

660 × 1536

704 × 1440

720 × 1408

768 × 1320

792 × 1280

880 × 1152

960 × 1056

990 × 1024

First multiples

1,013,760 · 2,027,520 (double) · 3,041,280 · 4,055,040 · 5,068,800 · 6,082,560 · 7,096,320 · 8,110,080 · 9,123,840 · 10,137,600

Sums & aliquot sequence

As consecutive integers: 337,919 + 337,920 + 337,921 202,750 + 202,751 + 202,752 + 202,753 + 202,754 112,636 + 112,637 + … + 112,644 92,155 + 92,156 + … + 92,165

Aliquot sequence: 1,013,760 → 2,819,160 → 6,615,720 → 17,645,400 → 41,619,780 → 86,799,420 → 178,635,204 → 339,566,844 → 452,755,820 → 584,467,108 → 455,118,264 → 825,618,336 → 1,362,697,248 → 2,539,575,168 → 4,765,177,272 → 7,147,765,968 → 14,525,549,232 — keeps growing

Continued fraction of √n

√1,013,760 = [1006; (1, 5, 1, 30, 1, 1, 1, 1, 5, 125, 1, 2, 9, 31, 2, 1, 4, 503, 4, 1, 2, 31, 9, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand seven hundred sixty
Ordinal: 1013760th
Binary: 11110111100000000000
Octal: 3674000
Hexadecimal: 0xF7800
Base64: D3gA
One's complement: 4,293,953,535 (32-bit)
Scientific notation: 1.01376 × 10⁶
As a duration: 1,013,760 s = 11 days, 17 hours, 36 minutes

In other bases

ternary (3) 1220111121200

quaternary (4) 3313200000

quinary (5) 224420020

senary (6) 33421200

septenary (7) 11421366

nonary (9) 1814550

undecimal (11) 632720

duodecimal (12) 40a800

tridecimal (13) 296577

tetradecimal (14) 1c5636

pentadecimal (15) 150590

As an angle

1,013,760° = 2,816 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千七百六十
Chinese (financial): 壹佰零壹萬參仟柒佰陸拾

In other modern scripts

Eastern Arabic ١٠١٣٧٦٠ Devanagari १०१३७६० Bengali ১০১৩৭৬০ Tamil ௧௦௧௩௭௬௦ Thai ๑๐๑๓๗๖๐ Tibetan ༡༠༡༣༧༦༠ Khmer ១០១៣៧៦០ Lao ໑໐໑໓໗໖໐ Burmese ၁၀၁၃၇၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013760, here are decompositions:

19 + 1013741 = 1013760
31 + 1013729 = 1013760
43 + 1013717 = 1013760
47 + 1013713 = 1013760
61 + 1013699 = 1013760
73 + 1013687 = 1013760
79 + 1013681 = 1013760
89 + 1013671 = 1013760

Showing the first eight; more decompositions exist.

Hex color

#0F7800

RGB(15, 120, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.0.

Address: 0.15.120.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.0

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 3760 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3760-10-01 (MMDYYYY (US, single-digit day))
3760-01-10 (DDMYYYY (Euro, single-digit month))

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,013,760 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,013,760 on Google Patents ↗ Look up on USPTO ↗