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164256160 = 2551039967
BaseRepresentation
bin10011100101001…
…01100110100000
3102110002002002111
421302211212200
5314022144120
624144325104
74033103635
oct1162454640
9373062074
10164256160
118479a0a2
1247013794
1328050ac3
1417b5a18c
15e64875a
hex9ca59a0

164256160 has 48 divisors (see below), whose sum is σ = 391862016. Its totient is φ = 65058048.

The previous prime is 164256149. The next prime is 164256167. The reversal of 164256160 is 61652461.

It is not an unprimeable number, because it can be changed into a prime (164256167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11497 + ... + 21463.

It is an arithmetic number, because the mean of its divisors is an integer number (8163792).

Almost surely, 2164256160 is an apocalyptic number.

164256160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164256160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195931008).

164256160 is an abundant number, since it is smaller than the sum of its proper divisors (227605856).

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

164256160 is a wasteful number, since it uses less digits than its factorization.

164256160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10085 (or 10077 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 164256160 is about 12816.2459402120. The cubic root of 164256160 is about 547.6552078334.

The spelling of 164256160 in words is "one hundred sixty-four million, two hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1648 2060 3296 4120 8240 9967 16480 19934 39868 49835 79736 99670 159472 199340 318944 398680 797360 1026601 1594720 2053202 4106404 5133005 8212808 10266010 16425616 20532020 32851232 41064040 82128080 164256160