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164860152 = 233171033923
BaseRepresentation
bin10011101001110…
…01000011111000
3102111012202121120
421310321003320
5314201011102
624205305240
74041200562
oct1164710370
9374182546
10164860152
1185071966
1247265220
13282029b2
1417c76332
15e7176bc
hex9d390f8

164860152 has 64 divisors (see below), whose sum is σ = 440743680. Its totient is φ = 51205632.

The previous prime is 164860081. The next prime is 164860153. The reversal of 164860152 is 251068461.

164860152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164860153) 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, 40063 + ... + 43985.

It is an arithmetic number, because the mean of its divisors is an integer number (6886620).

Almost surely, 2164860152 is an apocalyptic number.

164860152 is a gapful number since it is divisible by the number (12) 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 164860152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220371840).

164860152 is an abundant number, since it is smaller than the sum of its proper divisors (275883528).

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

164860152 is a wasteful number, since it uses less digits than its factorization.

164860152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 164860152 is about 12839.7878487146. The cubic root of 164860152 is about 548.3256540243.

The spelling of 164860152 in words is "one hundred sixty-four million, eight hundred sixty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 103 136 204 206 309 408 412 618 824 1236 1751 2472 3502 3923 5253 7004 7846 10506 11769 14008 15692 21012 23538 31384 42024 47076 66691 94152 133382 200073 266764 400146 404069 533528 800292 808138 1212207 1600584 1616276 2424414 3232552 4848828 6869173 9697656 13738346 20607519 27476692 41215038 54953384 82430076 164860152