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73236564 = 223219107071
BaseRepresentation
bin1000101110110…
…00000001010100
312002210210200100
410113120001110
5122222032224
611133414100
71546333452
oct427300124
9162723610
1073236564
1138381795
122063a330
1312232a5b
149a259d2
156669ac9
hex45d8054

73236564 has 36 divisors (see below), whose sum is σ = 194871040. Its totient is φ = 23127120.

The previous prime is 73236563. The next prime is 73236599. The reversal of 73236564 is 46563237.

73236564 is a `hidden beast` number, since 73 + 23 + 6 + 564 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73236563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52852 + ... + 54219.

Almost surely, 273236564 is an apocalyptic number.

It is an amenable number.

73236564 is an abundant number, since it is smaller than the sum of its proper divisors (121634476).

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

73236564 is a wasteful number, since it uses less digits than its factorization.

73236564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107100 (or 107095 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 73236564 is about 8557.8364088127. The cubic root of 73236564 is about 418.3848854563.

The spelling of 73236564 in words is "seventy-three million, two hundred thirty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 107071 214142 321213 428284 642426 963639 1284852 1927278 2034349 3854556 4068698 6103047 8137396 12206094 18309141 24412188 36618282 73236564