Live analysis

1,042,400

1,042,400 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.).

1,042,400 (one million forty-two thousand four hundred) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 5² × 1,303. Its proper divisors sum to 1,504,312, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE7E0.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,042,388 1,042,389 1,042,390 1,042,391 1,042,392 1,042,393 1,042,394 1,042,395 1,042,396 1,042,397 1,042,398 1,042,399 1,042,400 1,042,401 1,042,402 1,042,403 1,042,404 1,042,405 1,042,406 1,042,407 1,042,408 1,042,409 1,042,410 1,042,411 1,042,412

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 42,401
Square (n²): 1,086,597,760,000
Cube (n³): 1,132,669,505,024,000,000
Divisor count: 36
σ(n) — sum of divisors: 2,546,712
φ(n) — Euler's totient: 416,640
Sum of prime factors: 1,323

Primality

Prime factorization: 2 ⁵ × 5 ² × 1303

Nearest primes: 1,042,399 (−1) · 1,042,427 (+27)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 80 · 100 · 160 · 200 · 400 · 800 · 1303 · 2606 · 5212 · 6515 · 10424 · 13030 · 20848 · 26060 · 32575 · 41696 · 52120 · 65150 · 104240 · 130300 · 208480 · 260600 · 521200 (half) · 1042400

Aliquot sum (sum of proper divisors): 1,504,312

Factor pairs (a × b = 1,042,400)

1 × 1042400

2 × 521200

4 × 260600

5 × 208480

8 × 130300

10 × 104240

16 × 65150

20 × 52120

25 × 41696

32 × 32575

40 × 26060

50 × 20848

80 × 13030

100 × 10424

160 × 6515

200 × 5212

400 × 2606

800 × 1303

First multiples

1,042,400 · 2,084,800 (double) · 3,127,200 · 4,169,600 · 5,212,000 · 6,254,400 · 7,296,800 · 8,339,200 · 9,381,600 · 10,424,000

Sums & aliquot sequence

As consecutive integers: 208,478 + 208,479 + 208,480 + 208,481 + 208,482 41,684 + 41,685 + … + 41,708 16,256 + 16,257 + … + 16,319 3,098 + 3,099 + … + 3,417

Aliquot sequence: 1,042,400 → 1,504,312 → 1,382,528 → 1,767,232 → 1,812,644 → 1,359,490 → 1,470,974 → 741,994 → 515,126 → 262,378 → 154,394 → 104,806 → 71,594 → 35,800 → 47,900 → 56,260 → 67,220 — unresolved within range

Continued fraction of √n

√1,042,400 = [1020; (1, 48, 1, 4, 8, 1, 10, 1, 3, 2, 16, 41, 1, 1, 1, 1, 2, 1, 3, 1, 1, 5, 1, 1, …)]

Representations

In words: one million forty-two thousand four hundred
Ordinal: 1042400th
Binary: 11111110011111100000
Octal: 3763740
Hexadecimal: 0xFE7E0
Base64: D+fg
One's complement: 4,293,924,895 (32-bit)
Scientific notation: 1.0424 × 10⁶
As a duration: 1,042,400 s = 12 days, 1 hour, 33 minutes, 20 seconds

In other bases

ternary (3) 1221221220102

quaternary (4) 3332133200

quinary (5) 231324100

senary (6) 34201532

septenary (7) 11601032

nonary (9) 1857812

undecimal (11) 652197

duodecimal (12) 4232a8

tridecimal (13) 2a6608

tetradecimal (14) 1d1c52

pentadecimal (15) 158cd5

As an angle

1,042,400° = 2,895 × 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 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢
Chinese: 一百零四萬二千四百
Chinese (financial): 壹佰零肆萬貳仟肆佰

In other modern scripts

Eastern Arabic ١٠٤٢٤٠٠ Devanagari १०४२४०० Bengali ১০৪২৪০০ Tamil ௧௦௪௨௪௦௦ Thai ๑๐๔๒๔๐๐ Tibetan ༡༠༤༢༤༠༠ Khmer ១០៤២៤០០ Lao ໑໐໔໒໔໐໐ Burmese ၁၀၄၂၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042400, here are decompositions:

19 + 1042381 = 1042400
31 + 1042369 = 1042400
43 + 1042357 = 1042400
67 + 1042333 = 1042400
127 + 1042273 = 1042400
157 + 1042243 = 1042400
277 + 1042123 = 1042400
313 + 1042087 = 1042400

Showing the first eight; more decompositions exist.

Hex color

#0FE7E0

RGB(15, 231, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.231.224.

Address: 0.15.231.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.231.224

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 2400 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2400-04-01 (DMMYYYY (Euro, single-digit day))
2400-10-04 (MMDYYYY (US, single-digit day))
2400-04-10 (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 1,042,400 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,042,400 on Google Patents ↗ Look up on USPTO ↗