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23686164 = 2232739013
BaseRepresentation
bin101101001011…
…0110000010100
31122120101022100
41122112300110
522030424124
62203402100
7405220605
oct132266024
948511270
1023686164
1112408847
127b23330
134ba41a8
143207dac
15212d1c9
hex1696c14

23686164 has 36 divisors (see below), whose sum is σ = 60700276. Its totient is φ = 7786368.

The previous prime is 23686153. The next prime is 23686181. The reversal of 23686164 is 46168632.

23686164 is a `hidden beast` number, since 2 + 36 + 8 + 616 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 11492100 = 3492^2 + 3390^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×236861642 = 1122068730069792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1879 + ... + 7134.

Almost surely, 223686164 is an apocalyptic number.

It is an amenable number.

23686164 is an abundant number, since it is smaller than the sum of its proper divisors (37014112).

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

23686164 is a wasteful number, since it uses less digits than its factorization.

23686164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9096 (or 9091 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 23686164 is about 4866.8433301268. The cubic root of 23686164 is about 287.1870884138.

The spelling of 23686164 in words is "twenty-three million, six hundred eighty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 9013 18026 27039 36052 54078 81117 108156 162234 324468 657949 1315898 1973847 2631796 3947694 5921541 7895388 11843082 23686164