137,680
137,680 is a composite number, even.
137,680 (one hundred thirty-seven thousand six hundred eighty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,721. Its proper divisors sum to 182,612, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x219D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 25
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 86,731
- Recamán's sequence
- a(493,467) = 137,680
- Square (n²)
- 18,955,782,400
- Cube (n³)
- 2,609,832,120,832,000
- Divisor count
- 20
- σ(n) — sum of divisors
- 320,292
- φ(n) — Euler's totient
- 55,040
- Sum of prime factors
- 1,734
Primality
Prime factorization: 2 4 × 5 × 1721
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,680 = [371; (19, 37, 19, 742)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand six hundred eighty
- Ordinal
- 137680th
- Binary
- 100001100111010000
- Octal
- 414720
- Hexadecimal
- 0x219D0
- Base64
- AhnQ
- One's complement
- 4,294,829,615 (32-bit)
- Scientific notation
- 1.3768 × 10⁵
- As a duration
- 137,680 s = 1 day, 14 hours, 14 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλζχπʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋤·𝋠
- Chinese
- 一十三萬七千六百八十
- Chinese (financial)
- 壹拾參萬柒仟陸佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137680, here are decompositions:
- 41 + 137639 = 137680
- 47 + 137633 = 137680
- 83 + 137597 = 137680
- 107 + 137573 = 137680
- 113 + 137567 = 137680
- 173 + 137507 = 137680
- 197 + 137483 = 137680
- 227 + 137453 = 137680
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A7 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.208.
- Address
- 0.2.25.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.25.208
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 137,680 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 137680 first appears in π at position 367,003 of the decimal expansion (the 367,003ordinal-suffix:rd 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.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.