Live analysis

1,013,840

1,013,840 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.).

1,013,840 (one million thirteen thousand eight hundred forty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5 × 19 × 23 × 29. Its proper divisors sum to 1,664,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7850.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,013,828 1,013,829 1,013,830 1,013,831 1,013,832 1,013,833 1,013,834 1,013,835 1,013,836 1,013,837 1,013,838 1,013,839 1,013,840 1,013,841 1,013,842 1,013,843 1,013,844 1,013,845 1,013,846 1,013,847 1,013,848 1,013,849 1,013,850 1,013,851 1,013,852

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 483,101
Square (n²): 1,027,871,545,600
Cube (n³): 1,042,097,287,791,104,000
Divisor count: 80
σ(n) — sum of divisors: 2,678,400
φ(n) — Euler's totient: 354,816
Sum of prime factors: 84

Primality

Prime factorization: 2 ⁴ × 5 × 19 × 23 × 29

Nearest primes: 1,013,839 (−1) · 1,013,843 (+3)

Divisors & multiples

All divisors (80)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 19 · 20 · 23 · 29 · 38 · 40 · 46 · 58 · 76 · 80 · 92 · 95 · 115 · 116 · 145 · 152 · 184 · 190 · 230 · 232 · 290 · 304 · 368 · 380 · 437 · 460 · 464 · 551 · 580 · 667 · 760 · 874 · 920 · 1102 · 1160 · 1334 · 1520 · 1748 · 1840 · 2185 · 2204 · 2320 · 2668 · 2755 · 3335 · 3496 · 4370 · 4408 · 5336 · 5510 · 6670 · 6992 · 8740 · 8816 · 10672 · 11020 · 12673 · 13340 · 17480 · 22040 · 25346 · 26680 · 34960 · 44080 · 50692 · 53360 · 63365 · 101384 · 126730 · 202768 · 253460 · 506920 (half) · 1013840

Aliquot sum (sum of proper divisors): 1,664,560

Factor pairs (a × b = 1,013,840)

1 × 1013840

2 × 506920

4 × 253460

5 × 202768

8 × 126730

10 × 101384

16 × 63365

19 × 53360

20 × 50692

23 × 44080

29 × 34960

38 × 26680

40 × 25346

46 × 22040

58 × 17480

76 × 13340

80 × 12673

92 × 11020

95 × 10672

115 × 8816

116 × 8740

145 × 6992

152 × 6670

184 × 5510

190 × 5336

230 × 4408

232 × 4370

290 × 3496

304 × 3335

368 × 2755

380 × 2668

437 × 2320

460 × 2204

464 × 2185

551 × 1840

580 × 1748

667 × 1520

760 × 1334

874 × 1160

920 × 1102

First multiples

1,013,840 · 2,027,680 (double) · 3,041,520 · 4,055,360 · 5,069,200 · 6,083,040 · 7,096,880 · 8,110,720 · 9,124,560 · 10,138,400

Sums & aliquot sequence

As consecutive integers: 202,766 + 202,767 + 202,768 + 202,769 + 202,770 53,351 + 53,352 + … + 53,369 44,069 + 44,070 + … + 44,091 34,946 + 34,947 + … + 34,974

Aliquot sequence: 1,013,840 → 1,664,560 → 2,205,728 → 2,894,752 → 3,618,944 → 4,782,286 → 2,446,298 → 1,223,152 → 1,542,544 → 1,466,316 → 2,335,524 → 3,422,172 → 5,177,524 → 4,706,924 → 3,559,180 → 3,955,460 → 4,351,048 — unresolved within range

Continued fraction of √n

√1,013,840 = [1006; (1, 8, 1, 1, 1, 2, 1, 15, 1, 10, 1, 40, 5, 1, 1, 30, 1, 11, 1, 1, 5, 1, 3, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand eight hundred forty
Ordinal: 1013840th
Binary: 11110111100001010000
Octal: 3674120
Hexadecimal: 0xF7850
Base64: D3hQ
One's complement: 4,293,953,455 (32-bit)
Scientific notation: 1.01384 × 10⁶
As a duration: 1,013,840 s = 11 days, 17 hours, 37 minutes, 20 seconds

In other bases

ternary (3) 1220111201122

quaternary (4) 3313201100

quinary (5) 224420330

senary (6) 33421412

septenary (7) 11421542

nonary (9) 1814648

undecimal (11) 632793

duodecimal (12) 40a868

tridecimal (13) 296609

tetradecimal (14) 1c5692

pentadecimal (15) 1505e5

As an angle

1,013,840° = 2,816 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千八百四十
Chinese (financial): 壹佰零壹萬參仟捌佰肆拾

In other modern scripts

Eastern Arabic ١٠١٣٨٤٠ Devanagari १०१३८४० Bengali ১০১৩৮৪০ Tamil ௧௦௧௩௮௪௦ Thai ๑๐๑๓๘๔๐ Tibetan ༡༠༡༣༨༤༠ Khmer ១០១៣៨៤០ Lao ໑໐໑໓໘໔໐ Burmese ၁၀၁၃၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013840, here are decompositions:

7 + 1013833 = 1013840
13 + 1013827 = 1013840
67 + 1013773 = 1013840
73 + 1013767 = 1013840
127 + 1013713 = 1013840
199 + 1013641 = 1013840
211 + 1013629 = 1013840
271 + 1013569 = 1013840

Showing the first eight; more decompositions exist.

Hex color

#0F7850

RGB(15, 120, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.80.

Address: 0.15.120.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.80

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3840 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3840-10-01 (MMDYYYY (US, single-digit day))
3840-01-10 (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 1,013,840 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 US1,013,840 on Google Patents ↗ Look up on USPTO ↗