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164080932 = 22373971931
BaseRepresentation
bin10011100011110…
…10110100100100
3102102202011201120
421301322310210
5314001042212
624140453540
74031444031
oct1161726444
9372664646
10164080932
118468a484
1246b4a2b0
1327cbc112
1417b12388
15e61188c
hex9c7ad24

164080932 has 48 divisors (see below), whose sum is σ = 392304192. Its totient is φ = 53360640.

The previous prime is 164080921. The next prime is 164080937. The reversal of 164080932 is 239080461.

164080932 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164080893 and 164080902.

It is not an unprimeable number, because it can be changed into a prime (164080937) 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, 84007 + ... + 85937.

It is an arithmetic number, because the mean of its divisors is an integer number (8173004).

Almost surely, 2164080932 is an apocalyptic number.

164080932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164080932 is an abundant number, since it is smaller than the sum of its proper divisors (228223260).

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

164080932 is a wasteful number, since it uses less digits than its factorization.

164080932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 164080932 is about 12809.4079488476. The cubic root of 164080932 is about 547.4603928730.

The spelling of 164080932 in words is "one hundred sixty-four million, eighty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 73 97 146 194 219 291 292 388 438 582 876 1164 1931 3862 5793 7081 7724 11586 14162 21243 23172 28324 42486 84972 140963 187307 281926 374614 422889 561921 563852 749228 845778 1123842 1691556 2247684 13673411 27346822 41020233 54693644 82040466 164080932