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73064960 = 29528541
BaseRepresentation
bin1000101101011…
…10001000000000
312002111002021122
410112232020000
5122201034320
611130011412
71545020243
oct426561000
9162432248
1073064960
1138274871
1220576b68
13121a2907
1499bd25a
156633d25
hex45ae200

73064960 has 40 divisors (see below), whose sum is σ = 175190796. Its totient is φ = 29224960.

The previous prime is 73064941. The next prime is 73065001. The reversal of 73064960 is 6946037.

It can be written as a sum of positive squares in 2 ways, for example, as 70023424 + 3041536 = 8368^2 + 1744^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 73064960.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11711 + ... + 16830.

Almost surely, 273064960 is an apocalyptic number.

It is an amenable number.

73064960 is an abundant number, since it is smaller than the sum of its proper divisors (102125836).

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

73064960 is an equidigital number, since it uses as much as digits as its factorization.

73064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28564 (or 28548 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 73064960 is about 8547.8043964518. The cubic root of 73064960 is about 418.0578508639.

The spelling of 73064960 in words is "seventy-three million, sixty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 28541 57082 114164 142705 228328 285410 456656 570820 913312 1141640 1826624 2283280 3653248 4566560 7306496 9133120 14612992 18266240 36532480 73064960