Live analysis

116,736

116,736 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.).

116,736 (one hundred sixteen thousand seven hundred thirty-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2¹¹ × 3 × 19. Its proper divisors sum to 210,864, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C800.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

116,724 116,725 116,726 116,727 116,728 116,729 116,730 116,731 116,732 116,733 116,734 116,735 116,736 116,737 116,738 116,739 116,740 116,741 116,742 116,743 116,744 116,745 116,746 116,747 116,748

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Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 756
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 637,611
Square (n²): 13,627,293,696
Cube (n³): 1,590,795,756,896,256
Divisor count: 48
σ(n) — sum of divisors: 327,600
φ(n) — Euler's totient: 36,864
Sum of prime factors: 44

Primality

Prime factorization: 2 ¹¹ × 3 × 19

Nearest primes: 116,731 (−5) · 116,741 (+5)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 19 · 24 · 32 · 38 · 48 · 57 · 64 · 76 · 96 · 114 · 128 · 152 · 192 · 228 · 256 · 304 · 384 · 456 · 512 · 608 · 768 · 912 · 1024 · 1216 · 1536 · 1824 · 2048 · 2432 · 3072 · 3648 · 4864 · 6144 · 7296 · 9728 · 14592 · 19456 · 29184 · 38912 · 58368 (half) · 116736

Aliquot sum (sum of proper divisors): 210,864

Factor pairs (a × b = 116,736)

1 × 116736

2 × 58368

3 × 38912

4 × 29184

6 × 19456

8 × 14592

12 × 9728

16 × 7296

19 × 6144

24 × 4864

32 × 3648

38 × 3072

48 × 2432

57 × 2048

64 × 1824

76 × 1536

96 × 1216

114 × 1024

128 × 912

152 × 768

192 × 608

228 × 512

256 × 456

304 × 384

First multiples

116,736 · 233,472 (double) · 350,208 · 466,944 · 583,680 · 700,416 · 817,152 · 933,888 · 1,050,624 · 1,167,360

Sums & aliquot sequence

As consecutive integers: 38,911 + 38,912 + 38,913 6,135 + 6,136 + … + 6,153 2,020 + 2,021 + … + 2,076

Aliquot sequence: 116,736 → 210,864 → 360,528 → 770,352 → 1,402,128 → 3,472,560 → 11,151,504 → 30,012,528 → 65,425,808 → 81,915,952 → 85,417,088 → 84,750,022 → 61,164,890 → 48,931,930 → 39,145,562 → 20,143,174 → 10,071,590 — unresolved within range

Continued fraction of √n

√116,736 = [341; (1, 1, 1, 682)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one hundred sixteen thousand seven hundred thirty-six
Ordinal: 116736th
Binary: 11100100000000000
Octal: 344000
Hexadecimal: 0x1C800
Base64: AcgA
One's complement: 4,294,850,559 (32-bit)
Scientific notation: 1.16736 × 10⁵
As a duration: 116,736 s = 1 day, 8 hours, 25 minutes, 36 seconds

In other bases

ternary (3) 12221010120

quaternary (4) 130200000

quinary (5) 12213421

senary (6) 2300240

septenary (7) 664224

nonary (9) 187116

undecimal (11) 7a784

duodecimal (12) 57680

tridecimal (13) 41199

tetradecimal (14) 30784

pentadecimal (15) 248c6

As an angle

116,736° = 324 × 360° + 96°

96° ≈ 1.676 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριϛψλϛʹ
Mayan (base 20): 𝋮·𝋫·𝋰·𝋰
Chinese: 一十一萬六千七百三十六
Chinese (financial): 壹拾壹萬陸仟柒佰參拾陸

In other modern scripts

Eastern Arabic ١١٦٧٣٦ Devanagari ११६७३६ Bengali ১১৬৭৩৬ Tamil ௧௧௬௭௩௬ Thai ๑๑๖๗๓๖ Tibetan ༡༡༦༧༣༦ Khmer ១១៦៧៣៦ Lao ໑໑໖໗໓໖ Burmese ၁၁၆၇၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116736, here are decompositions:

5 + 116731 = 116736
17 + 116719 = 116736
29 + 116707 = 116736
47 + 116689 = 116736
73 + 116663 = 116736
79 + 116657 = 116736
97 + 116639 = 116736
157 + 116579 = 116736

Showing the first eight; more decompositions exist.

Hex color

#01C800

RGB(1, 200, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.200.0.

Address: 0.1.200.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.200.0

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 116,736 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 US116,736 on Google Patents ↗ Look up on USPTO ↗