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164013144 = 23317401993
BaseRepresentation
bin10011100011010…
…10010001011000
3102102121201201220
421301222101120
5313441410034
624135212040
74031042301
oct1161522130
9372551656
10164013144
1184643559
1246b17020
1327c972c9
1417ad57a8
15e5eb749
hex9c6a458

164013144 has 32 divisors (see below), whose sum is σ = 434153520. Its totient is φ = 51454976.

The previous prime is 164013139. The next prime is 164013151. The reversal of 164013144 is 441310461.

It is a super-2 number, since 2×1640131442 = 53800622809529472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200589 + ... + 201404.

Almost surely, 2164013144 is an apocalyptic number.

It is an amenable number.

164013144 is an abundant number, since it is smaller than the sum of its proper divisors (270140376).

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

164013144 is a wasteful number, since it uses less digits than its factorization.

164013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402019 (or 402015 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 164013144 is about 12806.7616515652. The cubic root of 164013144 is about 547.3849903333.

The spelling of 164013144 in words is "one hundred sixty-four million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 401993 803986 1205979 1607972 2411958 3215944 4823916 6833881 9647832 13667762 20501643 27335524 41003286 54671048 82006572 164013144