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23920164 = 22331911657
BaseRepresentation
bin101101100111…
…1111000100100
31200000021022000
41123033320210
522110421124
62212405300
7410214042
oct133177044
950007260
1023920164
1112558634
128016830
134c56858
143269392
1521776c9
hex16cfe24

23920164 has 48 divisors (see below), whose sum is σ = 65284800. Its totient is φ = 7553088.

The previous prime is 23920163. The next prime is 23920177. The reversal of 23920164 is 46102932.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23920163) 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, 3777 + ... + 7880.

It is an arithmetic number, because the mean of its divisors is an integer number (1360100).

Almost surely, 223920164 is an apocalyptic number.

It is an amenable number.

23920164 is an abundant number, since it is smaller than the sum of its proper divisors (41364636).

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

23920164 is a wasteful number, since it uses less digits than its factorization.

23920164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11689 (or 11681 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23920164 is about 4890.8244703731. The cubic root of 23920164 is about 288.1297158725.

The spelling of 23920164 in words is "twenty-three million, nine hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 11657 23314 34971 46628 69942 104913 139884 209826 221483 314739 419652 442966 629478 664449 885932 1258956 1328898 1993347 2657796 3986694 5980041 7973388 11960082 23920164