Live analysis

1,012,400

1,012,400 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.).

1,012,400 (one million twelve thousand four hundred) is an even 7-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5² × 2,531. Its proper divisors sum to 1,420,852, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF72B0.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,012,388 1,012,389 1,012,390 1,012,391 1,012,392 1,012,393 1,012,394 1,012,395 1,012,396 1,012,397 1,012,398 1,012,399 1,012,400 1,012,401 1,012,402 1,012,403 1,012,404 1,012,405 1,012,406 1,012,407 1,012,408 1,012,409 1,012,410 1,012,411 1,012,412

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 42,101
Square (n²): 1,024,953,760,000
Cube (n³): 1,037,663,186,624,000,000
Divisor count: 30
σ(n) — sum of divisors: 2,433,252
φ(n) — Euler's totient: 404,800
Sum of prime factors: 2,549

Primality

Prime factorization: 2 ⁴ × 5 ² × 2531

Nearest primes: 1,012,399 (−1) · 1,012,411 (+11)

Divisors & multiples

All divisors (30)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 200 · 400 · 2531 · 5062 · 10124 · 12655 · 20248 · 25310 · 40496 · 50620 · 63275 · 101240 · 126550 · 202480 · 253100 · 506200 (half) · 1012400

Aliquot sum (sum of proper divisors): 1,420,852

Factor pairs (a × b = 1,012,400)

1 × 1012400

2 × 506200

4 × 253100

5 × 202480

8 × 126550

10 × 101240

16 × 63275

20 × 50620

25 × 40496

40 × 25310

50 × 20248

80 × 12655

100 × 10124

200 × 5062

400 × 2531

First multiples

1,012,400 · 2,024,800 (double) · 3,037,200 · 4,049,600 · 5,062,000 · 6,074,400 · 7,086,800 · 8,099,200 · 9,111,600 · 10,124,000

Sums & aliquot sequence

As consecutive integers: 202,478 + 202,479 + 202,480 + 202,481 + 202,482 40,484 + 40,485 + … + 40,508 31,622 + 31,623 + … + 31,653 6,248 + 6,249 + … + 6,407

Aliquot sequence: 1,012,400 → 1,420,852 → 1,101,164 → 927,436 → 695,584 → 673,910 → 539,146 → 269,576 → 252,664 → 221,096 → 208,204 → 156,160 → 224,396 → 168,304 → 164,760 → 329,880 → 660,120 — unresolved within range

Continued fraction of √n

√1,012,400 = [1006; (5, 1, 1, 8, 2, 3, 1, 1, 4, 3, 1, 1, 1, 4, 10, 3, 8, 4, 1, 8, 1, 4, 1, 2, …)]

Representations

In words: one million twelve thousand four hundred
Ordinal: 1012400th
Binary: 11110111001010110000
Octal: 3671260
Hexadecimal: 0xF72B0
Base64: D3Kw
One's complement: 4,293,954,895 (32-bit)
Scientific notation: 1.0124 × 10⁶
As a duration: 1,012,400 s = 11 days, 17 hours, 13 minutes, 20 seconds

In other bases

ternary (3) 1220102202022

quaternary (4) 3313022300

quinary (5) 224344100

senary (6) 33411012

septenary (7) 11414414

nonary (9) 1812668

undecimal (11) 6316a4

duodecimal (12) 409a68

tridecimal (13) 295a6c

tetradecimal (14) 1c4d44

pentadecimal (15) 14ee85

As an angle

1,012,400° = 2,812 × 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 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢
Chinese: 一百零一萬二千四百
Chinese (financial): 壹佰零壹萬貳仟肆佰

In other modern scripts

Eastern Arabic ١٠١٢٤٠٠ Devanagari १०१२४०० Bengali ১০১২৪০০ Tamil ௧௦௧௨௪௦௦ Thai ๑๐๑๒๔๐๐ Tibetan ༡༠༡༢༤༠༠ Khmer ១០១២៤០០ Lao ໑໐໑໒໔໐໐ Burmese ၁၀၁၂၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012400, here are decompositions:

3 + 1012397 = 1012400
31 + 1012369 = 1012400
79 + 1012321 = 1012400
139 + 1012261 = 1012400
199 + 1012201 = 1012400
211 + 1012189 = 1012400
229 + 1012171 = 1012400
241 + 1012159 = 1012400

Showing the first eight; more decompositions exist.

Hex color

#0F72B0

RGB(15, 114, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.114.176.

Address: 0.15.114.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.114.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 2400 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2400-10-01 (MMDYYYY (US, single-digit day))
2400-01-10 (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 1,012,400 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 US1,012,400 on Google Patents ↗ Look up on USPTO ↗