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72960460 = 2259973659
BaseRepresentation
bin1000101100101…
…00100111001100
312002021202221021
410112110213030
5122134213320
611123443524
71544103466
oct426244714
9162252837
1072960460
1138203301
12205265a4
1312167191
149993136
156612daa
hex45949cc

72960460 has 24 divisors (see below), whose sum is σ = 153412560. Its totient is φ = 29146944.

The previous prime is 72960457. The next prime is 72960467. The reversal of 72960460 is 6406927.

It is not an unprimeable number, because it can be changed into a prime (72960467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18111 + ... + 21769.

It is an arithmetic number, because the mean of its divisors is an integer number (6392190).

Almost surely, 272960460 is an apocalyptic number.

It is an amenable number.

72960460 is an abundant number, since it is smaller than the sum of its proper divisors (80452100).

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

72960460 is a wasteful number, since it uses less digits than its factorization.

72960460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 72960460 is about 8541.6895284247. The cubic root of 72960460 is about 417.8584489000.

The spelling of 72960460 in words is "seventy-two million, nine hundred sixty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 997 1994 3659 3988 4985 7318 9970 14636 18295 19940 36590 73180 3648023 7296046 14592092 18240115 36480230 72960460