137,600
137,600 is a composite number, even.
137,600 (one hundred thirty-seven thousand six hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁷ × 5² × 43. Its proper divisors sum to 210,220, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21980.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 6,731
- Recamán's sequence
- a(493,627) = 137,600
- Square (n²)
- 18,933,760,000
- Cube (n³)
- 2,605,285,376,000,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 347,820
- φ(n) — Euler's totient
- 53,760
- Sum of prime factors
- 67
Primality
Prime factorization: 2 7 × 5 2 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,600 = [370; (1, 17, 10, 2, 1, 1, 5, 1, 1, 1, 3, 4, 4, 185, 4, 4, 3, 1, 1, 1, 5, 1, 1, 2, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand six hundred
- Ordinal
- 137600th
- Binary
- 100001100110000000
- Octal
- 414600
- Hexadecimal
- 0x21980
- Base64
- AhmA
- One's complement
- 4,294,829,695 (32-bit)
- Scientific notation
- 1.376 × 10⁵
- As a duration
- 137,600 s = 1 day, 14 hours, 13 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρλζχʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋠·𝋠
- Chinese
- 一十三萬七千六百
- Chinese (financial)
- 壹拾參萬柒仟陸佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137600, here are decompositions:
- 3 + 137597 = 137600
- 7 + 137593 = 137600
- 13 + 137587 = 137600
- 109 + 137491 = 137600
- 157 + 137443 = 137600
- 163 + 137437 = 137600
- 241 + 137359 = 137600
- 349 + 137251 = 137600
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A6 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.128.
- Address
- 0.2.25.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.25.128
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 137,600 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.