Live analysis

112,440

112,440 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.).

112,440 (one hundred twelve thousand four hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 937. Its proper divisors sum to 225,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B738.

Abundant Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

112,428 112,429 112,430 112,431 112,432 112,433 112,434 112,435 112,436 112,437 112,438 112,439 112,440 112,441 112,442 112,443 112,444 112,445 112,446 112,447 112,448 112,449 112,450 112,451 112,452

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 44,211
Recamán's sequence: a(246,660) = 112,440
Square (n²): 12,642,753,600
Cube (n³): 1,421,551,214,784,000
Divisor count: 32
σ(n) — sum of divisors: 337,680
φ(n) — Euler's totient: 29,952
Sum of prime factors: 951

Primality

Prime factorization: 2 ³ × 3 × 5 × 937

Nearest primes: 112,429 (−11) · 112,459 (+19)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 937 · 1874 · 2811 · 3748 · 4685 · 5622 · 7496 · 9370 · 11244 · 14055 · 18740 · 22488 · 28110 · 37480 · 56220 (half) · 112440

Aliquot sum (sum of proper divisors): 225,240

Factor pairs (a × b = 112,440)

1 × 112440

2 × 56220

3 × 37480

4 × 28110

5 × 22488

6 × 18740

8 × 14055

10 × 11244

12 × 9370

15 × 7496

20 × 5622

24 × 4685

30 × 3748

40 × 2811

60 × 1874

120 × 937

First multiples

112,440 · 224,880 (double) · 337,320 · 449,760 · 562,200 · 674,640 · 787,080 · 899,520 · 1,011,960 · 1,124,400

Sums & aliquot sequence

As consecutive integers: 37,479 + 37,480 + 37,481 22,486 + 22,487 + 22,488 + 22,489 + 22,490 7,489 + 7,490 + … + 7,503 7,020 + 7,021 + … + 7,035

Aliquot sequence: 112,440 → 225,240 → 450,840 → 1,096,440 → 2,193,240 → 5,481,240 → 10,962,840 → 27,928,680 → 62,307,480 → 124,615,320 → 262,132,680 → 543,460,920 → 1,101,919,080 → 2,211,175,320 → 4,422,351,000 → 9,748,651,560 → 19,976,767,320 — keeps growing

Continued fraction of √n

√112,440 = [335; (3, 8, 2, 27, 2, 8, 3, 670)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand four hundred forty
Ordinal: 112440th
Binary: 11011011100111000
Octal: 333470
Hexadecimal: 0x1B738
Base64: Abc4
One's complement: 4,294,854,855 (32-bit)
Scientific notation: 1.1244 × 10⁵
As a duration: 112,440 s = 1 day, 7 hours, 14 minutes

In other bases

ternary (3) 12201020110

quaternary (4) 123130320

quinary (5) 12044230

senary (6) 2224320

septenary (7) 645546

nonary (9) 181213

undecimal (11) 77529

duodecimal (12) 550a0

tridecimal (13) 3c243

tetradecimal (14) 2cd96

pentadecimal (15) 234b0

Palindromic in base 7

As an angle

112,440° = 312 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ριβυμʹ
Mayan (base 20): 𝋮·𝋡·𝋢·𝋠
Chinese: 一十一萬二千四百四十
Chinese (financial): 壹拾壹萬貳仟肆佰肆拾

In other modern scripts

Eastern Arabic ١١٢٤٤٠ Devanagari ११२४४० Bengali ১১২৪৪০ Tamil ௧௧௨௪௪௦ Thai ๑๑๒๔๔๐ Tibetan ༡༡༢༤༤༠ Khmer ១១២៤៤០ Lao ໑໑໒໔໔໐ Burmese ၁၁၂၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112440, here are decompositions:

11 + 112429 = 112440
37 + 112403 = 112440
43 + 112397 = 112440
79 + 112361 = 112440
101 + 112339 = 112440
103 + 112337 = 112440
109 + 112331 = 112440
113 + 112327 = 112440

Showing the first eight; more decompositions exist.

Hex color

#01B738

RGB(1, 183, 56)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.56.

Address: 0.1.183.56
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.183.56

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

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 112,440 and was likely granted around 1871.

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

Look up US112,440 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 112440 first appears in π at position 930,549 of the decimal expansion (the 930,549ordinal-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 112440 on Pi Search ↗