Live analysis

1,013,520

1,013,520 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.).

1,013,520 (one million thirteen thousand five hundred twenty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 41 × 103. Its proper divisors sum to 2,236,272, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7710.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,508 1,013,509 1,013,510 1,013,511 1,013,512 1,013,513 1,013,514 1,013,515 1,013,516 1,013,517 1,013,518 1,013,519 1,013,520 1,013,521 1,013,522 1,013,523 1,013,524 1,013,525 1,013,526 1,013,527 1,013,528 1,013,529 1,013,530 1,013,531 1,013,532

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 253,101
Square (n²): 1,027,222,790,400
Cube (n³): 1,041,110,842,526,208,000
Divisor count: 80
σ(n) — sum of divisors: 3,249,792
φ(n) — Euler's totient: 261,120
Sum of prime factors: 160

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 41 × 103

Nearest primes: 1,013,503 (−17) · 1,013,527 (+7)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 41 · 48 · 60 · 80 · 82 · 103 · 120 · 123 · 164 · 205 · 206 · 240 · 246 · 309 · 328 · 410 · 412 · 492 · 515 · 615 · 618 · 656 · 820 · 824 · 984 · 1030 · 1230 · 1236 · 1545 · 1640 · 1648 · 1968 · 2060 · 2460 · 2472 · 3090 · 3280 · 4120 · 4223 · 4920 · 4944 · 6180 · 8240 · 8446 · 9840 · 12360 · 12669 · 16892 · 21115 · 24720 · 25338 · 33784 · 42230 · 50676 · 63345 · 67568 · 84460 · 101352 · 126690 · 168920 · 202704 · 253380 · 337840 · 506760 (half) · 1013520

Aliquot sum (sum of proper divisors): 2,236,272

Factor pairs (a × b = 1,013,520)

1 × 1013520

2 × 506760

3 × 337840

4 × 253380

5 × 202704

6 × 168920

8 × 126690

10 × 101352

12 × 84460

15 × 67568

16 × 63345

20 × 50676

24 × 42230

30 × 33784

40 × 25338

41 × 24720

48 × 21115

60 × 16892

80 × 12669

82 × 12360

103 × 9840

120 × 8446

123 × 8240

164 × 6180

205 × 4944

206 × 4920

240 × 4223

246 × 4120

309 × 3280

328 × 3090

410 × 2472

412 × 2460

492 × 2060

515 × 1968

615 × 1648

618 × 1640

656 × 1545

820 × 1236

824 × 1230

984 × 1030

First multiples

1,013,520 · 2,027,040 (double) · 3,040,560 · 4,054,080 · 5,067,600 · 6,081,120 · 7,094,640 · 8,108,160 · 9,121,680 · 10,135,200

Sums & aliquot sequence

As consecutive integers: 337,839 + 337,840 + 337,841 202,702 + 202,703 + 202,704 + 202,705 + 202,706 67,561 + 67,562 + … + 67,575 31,657 + 31,658 + … + 31,688

Aliquot sequence: 1,013,520 → 2,236,272 → 3,540,888 → 7,219,512 → 12,333,528 → 21,069,972 → 45,932,236 → 46,076,884 → 46,076,940 → 133,709,940 → 383,109,132 → 640,044,020 → 1,048,447,372 → 1,048,447,428 → 1,747,412,604 → 3,304,965,636 → 6,242,713,596 — unresolved within range

Continued fraction of √n

√1,013,520 = [1006; (1, 2, 1, 4, 5, 1, 3, 1, 1, 2, 2, 1, 1, 40, 1, 1, 51, 8, 4, 3, 3, 18, 1, 6, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand five hundred twenty
Ordinal: 1013520th
Binary: 11110111011100010000
Octal: 3673420
Hexadecimal: 0xF7710
Base64: D3cQ
One's complement: 4,293,953,775 (32-bit)
Scientific notation: 1.01352 × 10⁶
As a duration: 1,013,520 s = 11 days, 17 hours, 32 minutes

In other bases

ternary (3) 1220111021210

quaternary (4) 3313130100

quinary (5) 224413040

senary (6) 33420120

septenary (7) 11420604

nonary (9) 1814253

undecimal (11) 632522

duodecimal (12) 40a640

tridecimal (13) 296421

tetradecimal (14) 1c5504

pentadecimal (15) 150480

As an angle

1,013,520° = 2,815 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百零一萬三千五百二十
Chinese (financial): 壹佰零壹萬參仟伍佰貳拾

In other modern scripts

Eastern Arabic ١٠١٣٥٢٠ Devanagari १०१३५२० Bengali ১০১৩৫২০ Tamil ௧௦௧௩௫௨௦ Thai ๑๐๑๓๕๒๐ Tibetan ༡༠༡༣༥༢༠ Khmer ១០១៣៥២០ Lao ໑໐໑໓໕໒໐ Burmese ၁၀၁၃၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013520, here are decompositions:

17 + 1013503 = 1013520
19 + 1013501 = 1013520
43 + 1013477 = 1013520
89 + 1013431 = 1013520
191 + 1013329 = 1013520
199 + 1013321 = 1013520
229 + 1013291 = 1013520
241 + 1013279 = 1013520

Showing the first eight; more decompositions exist.

Hex color

#0F7710

RGB(15, 119, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.16.

Address: 0.15.119.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.16

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3520 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3520-10-01 (MMDYYYY (US, single-digit day))
3520-01-10 (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 1,013,520 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 US1,013,520 on Google Patents ↗ Look up on USPTO ↗