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164664460 = 22577310651
BaseRepresentation
bin10011101000010…
…01010010001100
3102110211211011201
421310021102030
5314123230320
624201155244
74036424212
oct1164112214
9373754151
10164664460
1184a48934
124718bb24
13281648bc
1417c24cb2
15e6c970a
hex9d0948c

164664460 has 24 divisors (see below), whose sum is σ = 346275216. Its totient is φ = 65774400.

The previous prime is 164664449. The next prime is 164664473. The reversal of 164664460 is 64466461.

It is a happy number.

It is a super-2 number, since 2×1646644602 = 54228768774183200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct 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 7 ways as a sum of consecutive naturals, for example, 10135 + ... + 20785.

It is an arithmetic number, because the mean of its divisors is an integer number (14428134).

Almost surely, 2164664460 is an apocalyptic number.

164664460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164664460 is an abundant number, since it is smaller than the sum of its proper divisors (181610756).

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

164664460 is a wasteful number, since it uses less digits than its factorization.

164664460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11433 (or 11431 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 164664460 is about 12832.1650550482. The cubic root of 164664460 is about 548.1086106142.

The spelling of 164664460 in words is "one hundred sixty-four million, six hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 773 1546 3092 3865 7730 10651 15460 21302 42604 53255 106510 213020 8233223 16466446 32932892 41166115 82332230 164664460