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164520937 = 7313891949
BaseRepresentation
bin10011100111001…
…10001111101001
3102110120112022001
421303212033221
5314104132222
624154131001
74035255610
oct1163461751
9373515261
10164520937
1184960019
1247120a61
1328114489
1417bc8877
15e69be27
hex9ce63e9

164520937 has 16 divisors (see below), whose sum is σ = 194688000. Its totient is φ = 136048320.

The previous prime is 164520901. The next prime is 164520947. The reversal of 164520937 is 739025461.

It is a cyclic number.

It is not a de Polignac number, because 164520937 - 227 = 30303209 is a prime.

It is a super-3 number, since 3×1645209373 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164520896 and 164520905.

It is not an unprimeable number, because it can be changed into a prime (164520947) 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, 83439 + ... + 85387.

It is an arithmetic number, because the mean of its divisors is an integer number (12168000).

Almost surely, 2164520937 is an apocalyptic number.

It is an amenable number.

164520937 is a deficient number, since it is larger than the sum of its proper divisors (30167063).

164520937 is a wasteful number, since it uses less digits than its factorization.

164520937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376.

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 164520937 is about 12826.5715216499. The cubic root of 164520937 is about 547.9493188873.

The spelling of 164520937 in words is "one hundred sixty-four million, five hundred twenty thousand, nine hundred thirty-seven".

Divisors: 1 7 31 217 389 1949 2723 12059 13643 60419 84413 422933 758161 5307127 23502991 164520937