137,240
137,240 is a composite number, even.
137,240 (one hundred thirty-seven thousand two hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 47 × 73. Its proper divisors sum to 182,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21818.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 42,731
- Square (n²)
- 18,834,817,600
- Cube (n³)
- 2,584,890,367,424,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 319,680
- φ(n) — Euler's totient
- 52,992
- Sum of prime factors
- 131
Primality
Prime factorization: 2 3 × 5 × 47 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,240 = [370; (2, 5, 1, 1, 1, 1, 1, 10, 1, 3, 2, 7, 1, 7, 2, 3, 1, 10, 1, 1, 1, 1, 1, 5, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand two hundred forty
- Ordinal
- 137240th
- Binary
- 100001100000011000
- Octal
- 414030
- Hexadecimal
- 0x21818
- Base64
- AhgY
- One's complement
- 4,294,830,055 (32-bit)
- Scientific notation
- 1.3724 × 10⁵
- As a duration
- 137,240 s = 1 day, 14 hours, 7 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλζσμʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋢·𝋠
- Chinese
- 一十三萬七千二百四十
- Chinese (financial)
- 壹拾參萬柒仟貳佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137240, here are decompositions:
- 31 + 137209 = 137240
- 43 + 137197 = 137240
- 97 + 137143 = 137240
- 109 + 137131 = 137240
- 151 + 137089 = 137240
- 163 + 137077 = 137240
- 211 + 137029 = 137240
- 241 + 136999 = 137240
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A0 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.24.
- Address
- 0.2.24.24
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.24
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 137,240 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.