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10064808 = 23321310753
BaseRepresentation
bin100110011001…
…001110101000
3200221100022200
4212121032220
510034033213
6555420200
7151356315
oct46311650
920840280
1010064808
115754926
123454660
132115210
14149dd0c
15d3c273
hex9993a8

10064808 has 48 divisors (see below), whose sum is σ = 29358420. Its totient is φ = 3096576.

The previous prime is 10064773. The next prime is 10064809. The reversal of 10064808 is 80846001.

10064808 is a `hidden beast` number, since 10 + 0 + 648 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9998244 + 66564 = 3162^2 + 258^2 .

It is not an unprimeable number, because it can be changed into a prime (10064809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4441 + ... + 6312.

Almost surely, 210064808 is an apocalyptic number.

10064808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10064808 is an abundant number, since it is smaller than the sum of its proper divisors (19293612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10064808 is a wasteful number, since it uses less digits than its factorization.

10064808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10778 (or 10771 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10064808 is about 3172.5081560179. The cubic root of 10064808 is about 215.9078825310.

The spelling of 10064808 in words is "ten million, sixty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 10753 21506 32259 43012 64518 86024 96777 129036 139789 193554 258072 279578 387108 419367 559156 774216 838734 1118312 1258101 1677468 2516202 3354936 5032404 10064808