Base | Representation |
---|---|
bin | 101000101101011… |
… | …001111000100000 |
3 | 1202121011112201000 |
4 | 220231121320200 |
5 | 2344321204021 |
6 | 151434512000 |
7 | 22632220542 |
oct | 5055317040 |
9 | 1677145630 |
10 | 682991136 |
11 | 320592393 |
12 | 170895600 |
13 | ab665589 |
14 | 669cb692 |
15 | 3ee62b26 |
hex | 28b59e20 |
682991136 has 96 divisors (see below), whose sum is σ = 2024870400. Its totient is φ = 223914240.
The previous prime is 682991123. The next prime is 682991137. The reversal of 682991136 is 631199286.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 682991091 and 682991100.
It is not an unprimeable number, because it can be changed into a prime (682991137) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46225 + ... + 59183.
It is an arithmetic number, because the mean of its divisors is an integer number (21092400).
Almost surely, 2682991136 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 682991136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012435200).
682991136 is an abundant number, since it is smaller than the sum of its proper divisors (1341879264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
682991136 is a wasteful number, since it uses less digits than its factorization.
682991136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13039 (or 13025 counting only the distinct ones).
The product of its digits is 139968, while the sum is 45.
The square root of 682991136 is about 26134.0991044268. The cubic root of 682991136 is about 880.6534127831.
The spelling of 682991136 in words is "six hundred eighty-two million, nine hundred ninety-one thousand, one hundred thirty-six".
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