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164120831 = 7295971193
BaseRepresentation
bin10011100100001…
…00100011111111
3102102211012110022
421302010203333
5314003331311
624141402355
74032001250
oct1162044377
9372735408
10164120831
1184707456
1246b693bb
1328004324
1417b22b27
15e61d5db
hex9c848ff

164120831 has 32 divisors (see below), whose sum is σ = 201139200. Its totient is φ = 130959360.

The previous prime is 164120819. The next prime is 164120833. The reversal of 164120831 is 138021461.

It is not a de Polignac number, because 164120831 - 26 = 164120767 is a prime.

It is a super-2 number, since 2×1641208312 = 53871294336261122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164120831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164120833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850271 + ... + 850463.

It is an arithmetic number, because the mean of its divisors is an integer number (6285600).

Almost surely, 2164120831 is an apocalyptic number.

164120831 is a deficient number, since it is larger than the sum of its proper divisors (37018369).

164120831 is a wasteful number, since it uses less digits than its factorization.

164120831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 164120831 is about 12810.9652641790. The cubic root of 164120831 is about 547.5047639682.

The spelling of 164120831 in words is "one hundred sixty-four million, one hundred twenty thousand, eight hundred thirty-one".

Divisors: 1 7 29 59 71 193 203 413 497 1351 1711 2059 4189 5597 11387 11977 13703 14413 29323 39179 79709 95921 121481 330223 397387 808477 850367 2311561 2781709 5659339 23445833 164120831