Live analysis

1,013,640

1,013,640 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.).

1,013,640 (one million thirteen thousand six hundred forty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 8,447. Its proper divisors sum to 2,027,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7788.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,628 1,013,629 1,013,630 1,013,631 1,013,632 1,013,633 1,013,634 1,013,635 1,013,636 1,013,637 1,013,638 1,013,639 1,013,640 1,013,641 1,013,642 1,013,643 1,013,644 1,013,645 1,013,646 1,013,647 1,013,648 1,013,649 1,013,650 1,013,651 1,013,652

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 463,101
Square (n²): 1,027,466,049,600
Cube (n³): 1,041,480,686,516,544,000
Divisor count: 32
σ(n) — sum of divisors: 3,041,280
φ(n) — Euler's totient: 270,272
Sum of prime factors: 8,461

Primality

Prime factorization: 2 ³ × 3 × 5 × 8447

Nearest primes: 1,013,629 (−11) · 1,013,641 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 8447 · 16894 · 25341 · 33788 · 42235 · 50682 · 67576 · 84470 · 101364 · 126705 · 168940 · 202728 · 253410 · 337880 · 506820 (half) · 1013640

Aliquot sum (sum of proper divisors): 2,027,640

Factor pairs (a × b = 1,013,640)

1 × 1013640

2 × 506820

3 × 337880

4 × 253410

5 × 202728

6 × 168940

8 × 126705

10 × 101364

12 × 84470

15 × 67576

20 × 50682

24 × 42235

30 × 33788

40 × 25341

60 × 16894

120 × 8447

First multiples

1,013,640 · 2,027,280 (double) · 3,040,920 · 4,054,560 · 5,068,200 · 6,081,840 · 7,095,480 · 8,109,120 · 9,122,760 · 10,136,400

Sums & aliquot sequence

As consecutive integers: 337,879 + 337,880 + 337,881 202,726 + 202,727 + 202,728 + 202,729 + 202,730 67,569 + 67,570 + … + 67,583 63,345 + 63,346 + … + 63,360

Aliquot sequence: 1,013,640 → 2,027,640 → 4,177,320 → 10,147,800 → 23,756,280 → 47,512,920 → 137,959,080 → 362,919,000 → 829,170,600 → 1,766,407,320 → 4,221,540,360 → 9,686,497,680 → 22,843,992,780 — keeps growing

Continued fraction of √n

√1,013,640 = [1006; (1, 3, 1, 12, 9, 3, 2, 11, 2, 15, 7, 1, 2, 8, 134, 8, 2, 1, 7, 15, 2, 11, 2, 3, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand six hundred forty
Ordinal: 1013640th
Binary: 11110111011110001000
Octal: 3673610
Hexadecimal: 0xF7788
Base64: D3eI
One's complement: 4,293,953,655 (32-bit)
Scientific notation: 1.01364 × 10⁶
As a duration: 1,013,640 s = 11 days, 17 hours, 34 minutes

In other bases

ternary (3) 1220111110020

quaternary (4) 3313132020

quinary (5) 224414030

senary (6) 33420440

septenary (7) 11421135

nonary (9) 1814406

undecimal (11) 632621

duodecimal (12) 40a720

tridecimal (13) 2964b4

tetradecimal (14) 1c558c

pentadecimal (15) 150510

As an angle

1,013,640° = 2,815 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千六百四十
Chinese (financial): 壹佰零壹萬參仟陸佰肆拾

In other modern scripts

Eastern Arabic ١٠١٣٦٤٠ Devanagari १०१३६४० Bengali ১০১৩৬৪০ Tamil ௧௦௧௩௬௪௦ Thai ๑๐๑๓๖๔๐ Tibetan ༡༠༡༣༦༤༠ Khmer ១០១៣៦៤០ Lao ໑໐໑໓໖໔໐ Burmese ၁၀၁၃၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013640, here are decompositions:

11 + 1013629 = 1013640
13 + 1013627 = 1013640
31 + 1013609 = 1013640
37 + 1013603 = 1013640
59 + 1013581 = 1013640
71 + 1013569 = 1013640
107 + 1013533 = 1013640
109 + 1013531 = 1013640

Showing the first eight; more decompositions exist.

Hex color

#0F7788

RGB(15, 119, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.136.

Address: 0.15.119.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.136

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3640 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3640-10-01 (MMDYYYY (US, single-digit day))
3640-01-10 (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 1,013,640 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 US1,013,640 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1013640 first appears in π at position 333,667 of the decimal expansion (the 333,667ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1013640 on Pi Search ↗