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10164660 = 22351115401
BaseRepresentation
bin100110110001…
…100110110100
3201010102021220
4212301212310
510100232120
61001510340
7152253402
oct46614664
921112256
1010164660
115812950
1234a23b0
13214b7bc
1414c8472
15d5bb40
hex9b19b4

10164660 has 48 divisors (see below), whose sum is σ = 31050432. Its totient is φ = 2464000.

The previous prime is 10164659. The next prime is 10164667. The reversal of 10164660 is 6646101.

10164660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10164660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7041 + ... + 8360.

It is an arithmetic number, because the mean of its divisors is an integer number (646884).

Almost surely, 210164660 is an apocalyptic number.

10164660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10164660 is an abundant number, since it is smaller than the sum of its proper divisors (20885772).

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

10164660 is a wasteful number, since it uses less digits than its factorization.

10164660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15424 (or 15422 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10164660 is about 3188.2063923153. The cubic root of 10164660 is about 216.6195347842.

The spelling of 10164660 in words is "ten million, one hundred sixty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 15401 30802 46203 61604 77005 92406 154010 169411 184812 231015 308020 338822 462030 508233 677644 847055 924060 1016466 1694110 2032932 2541165 3388220 5082330 10164660