Base | Representation |
---|---|
bin | 1111011011100… |
… | …0000010100000 |
3 | 11111202221222110 |
4 | 3312320002200 |
5 | 113031420320 |
6 | 10231035320 |
7 | 1414041120 |
oct | 366700240 |
9 | 144687873 |
10 | 64716960 |
11 | 335928a0 |
12 | 1980bb40 |
13 | 1053bc79 |
14 | 8848c80 |
15 | 5a355e0 |
hex | 3db80a0 |
64716960 has 384 divisors, whose sum is σ = 271724544. Its totient is φ = 12533760.
The previous prime is 64716947. The next prime is 64716991. The reversal of 64716960 is 6961746.
It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 628269 + ... + 628371.
It is an arithmetic number, because the mean of its divisors is an integer number (707616).
Almost surely, 264716960 is an apocalyptic number.
64716960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 64716960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).
64716960 is an abundant number, since it is smaller than the sum of its proper divisors (207007584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64716960 is a wasteful number, since it uses less digits than its factorization.
64716960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 156 (or 148 counting only the distinct ones).
The product of its (nonzero) digits is 54432, while the sum is 39.
The square root of 64716960 is about 8044.6852020449. The cubic root of 64716960 is about 401.4881235221.
It can be divided in two parts, 6471 and 6960, that added together give a palindrome (13431).
The spelling of 64716960 in words is "sixty-four million, seven hundred sixteen thousand, nine hundred sixty".
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