Live analysis

1,013,240

1,013,240 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.).

1,013,240 (one million thirteen thousand two hundred forty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 73 × 347. Its proper divisors sum to 1,304,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF75F8.

Abundant Number Evil Number Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,228 1,013,229 1,013,230 1,013,231 1,013,232 1,013,233 1,013,234 1,013,235 1,013,236 1,013,237 1,013,238 1,013,239 1,013,240 1,013,241 1,013,242 1,013,243 1,013,244 1,013,245 1,013,246 1,013,247 1,013,248 1,013,249 1,013,250 1,013,251 1,013,252

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 423,101
Square (n²): 1,026,655,297,600
Cube (n³): 1,040,248,213,740,224,000
Divisor count: 32
σ(n) — sum of divisors: 2,317,680
φ(n) — Euler's totient: 398,592
Sum of prime factors: 431

Primality

Prime factorization: 2 ³ × 5 × 73 × 347

Nearest primes: 1,013,239 (−1) · 1,013,249 (+9)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 73 · 146 · 292 · 347 · 365 · 584 · 694 · 730 · 1388 · 1460 · 1735 · 2776 · 2920 · 3470 · 6940 · 13880 · 25331 · 50662 · 101324 · 126655 · 202648 · 253310 · 506620 (half) · 1013240

Aliquot sum (sum of proper divisors): 1,304,440

Factor pairs (a × b = 1,013,240)

1 × 1013240

2 × 506620

4 × 253310

5 × 202648

8 × 126655

10 × 101324

20 × 50662

40 × 25331

73 × 13880

146 × 6940

292 × 3470

347 × 2920

365 × 2776

584 × 1735

694 × 1460

730 × 1388

First multiples

1,013,240 · 2,026,480 (double) · 3,039,720 · 4,052,960 · 5,066,200 · 6,079,440 · 7,092,680 · 8,105,920 · 9,119,160 · 10,132,400

Sums & aliquot sequence

As consecutive integers: 202,646 + 202,647 + 202,648 + 202,649 + 202,650 63,320 + 63,321 + … + 63,335 13,844 + 13,845 + … + 13,916 12,626 + 12,627 + … + 12,705

Aliquot sequence: 1,013,240 → 1,304,440 → 1,630,640 → 2,788,720 → 4,286,720 → 6,640,504 → 6,982,616 → 6,828,424 → 7,945,976 → 6,952,744 → 6,645,176 → 6,244,624 → 5,854,366 → 4,181,714 → 2,293,294 → 1,230,674 → 615,340 — unresolved within range

Continued fraction of √n

√1,013,240 = [1006; (1, 1, 2, 22, 4, 1, 1, 5, 1, 1, 3, 2, 1, 1, 24, 1, 8, 2, 2, 13, 1, 40, 6, 2, …)]

Representations

In words: one million thirteen thousand two hundred forty
Ordinal: 1013240th
Binary: 11110111010111111000
Octal: 3672770
Hexadecimal: 0xF75F8
Base64: D3X4
One's complement: 4,293,954,055 (32-bit)
Scientific notation: 1.01324 × 10⁶
As a duration: 1,013,240 s = 11 days, 17 hours, 27 minutes, 20 seconds

In other bases

ternary (3) 1220110220102

quaternary (4) 3313113320

quinary (5) 224410430

senary (6) 33414532

septenary (7) 11420024

nonary (9) 1813812

undecimal (11) 632298

duodecimal (12) 40a448

tridecimal (13) 296267

tetradecimal (14) 1c5384

pentadecimal (15) 150345

As an angle

1,013,240° = 2,814 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千二百四十
Chinese (financial): 壹佰零壹萬參仟貳佰肆拾

In other modern scripts

Eastern Arabic ١٠١٣٢٤٠ Devanagari १०१३२४० Bengali ১০১৩২৪০ Tamil ௧௦௧௩௨௪௦ Thai ๑๐๑๓๒๔๐ Tibetan ༡༠༡༣༢༤༠ Khmer ១០១៣២៤០ Lao ໑໐໑໓໒໔໐ Burmese ၁၀၁၃၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013240, here are decompositions:

3 + 1013237 = 1013240
13 + 1013227 = 1013240
37 + 1013203 = 1013240
43 + 1013197 = 1013240
97 + 1013143 = 1013240
199 + 1013041 = 1013240
211 + 1013029 = 1013240
337 + 1012903 = 1013240

Showing the first eight; more decompositions exist.

Hex color

#0F75F8

RGB(15, 117, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.248.

Address: 0.15.117.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.248

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3240 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3240-10-01 (MMDYYYY (US, single-digit day))
3240-01-10 (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 1,013,240 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 US1,013,240 on Google Patents ↗ Look up on USPTO ↗