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10164931 = 731139337
BaseRepresentation
bin100110110001…
…101011000011
3201010102122221
4212301223003
510100234211
61001511511
7152254240
oct46615303
921112587
1010164931
115813077
1234a2597
13214b96a
1414c85c7
15d5bc71
hex9b1ac3

10164931 has 16 divisors (see below), whose sum is σ = 12113920. Its totient is φ = 8346240.

The previous prime is 10164907. The next prime is 10164937. The reversal of 10164931 is 13946101.

10164931 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10164931 - 211 = 10162883 is a prime.

It is a super-2 number, since 2×101649312 = 206651644469522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10164896 and 10164905.

It is not an unprimeable number, because it can be changed into a prime (10164937) 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, 29995 + ... + 30331.

It is an arithmetic number, because the mean of its divisors is an integer number (757120).

Almost surely, 210164931 is an apocalyptic number.

10164931 is a deficient number, since it is larger than the sum of its proper divisors (1948989).

10164931 is a wasteful number, since it uses less digits than its factorization.

10164931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514.

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 10164931 is about 3188.2488924173. The cubic root of 10164931 is about 216.6214598649.

The spelling of 10164931 in words is "ten million, one hundred sixty-four thousand, nine hundred thirty-one".

Divisors: 1 7 31 139 217 337 973 2359 4309 10447 30163 46843 73129 327901 1452133 10164931