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164152368 = 24324672441
BaseRepresentation
bin10011100100011…
…00010000110000
3102102212210201100
421302030100300
5314010333433
624142204400
74032162222
oct1162142060
9372783640
10164152368
1184729116
1246b83700
13280157a3
1417b30412
15e627b13
hex9c8c430

164152368 has 60 divisors (see below), whose sum is σ = 460570968. Its totient is φ = 54577920.

The previous prime is 164152361. The next prime is 164152369. The reversal of 164152368 is 863251461.

It is a happy number.

164152368 is a `hidden beast` number, since 1 + 6 + 415 + 236 + 8 = 666.

164152368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (164152361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66028 + ... + 68468.

Almost surely, 2164152368 is an apocalyptic number.

164152368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164152368 is an abundant number, since it is smaller than the sum of its proper divisors (296418600).

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

164152368 is a wasteful number, since it uses less digits than its factorization.

164152368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2913 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 164152368 is about 12812.1960646877. The cubic root of 164152368 is about 547.5398307171.

The spelling of 164152368 in words is "one hundred sixty-four million, one hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 467 934 1401 1868 2441 2802 3736 4203 4882 5604 7323 7472 8406 9764 11208 14646 16812 19528 21969 22416 29292 33624 39056 43938 58584 67248 87876 117168 175752 351504 1139947 2279894 3419841 4559788 6839682 9119576 10259523 13679364 18239152 20519046 27358728 41038092 54717456 82076184 164152368