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57064 = 2371019
BaseRepresentation
bin1101111011101000
32220021111
431323220
53311224
61120104
7325240
oct157350
986244
1057064
1139967
1229034
131cc87
1416b20
1511d94
hexdee8

57064 has 16 divisors (see below), whose sum is σ = 122400. Its totient is φ = 24432.

The previous prime is 57059. The next prime is 57073. The reversal of 57064 is 46075.

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, 454 + ... + 565.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

257064 is an apocalyptic number.

It is an amenable number.

57064 is an abundant number, since it is smaller than the sum of its proper divisors (65336).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61200).

57064 is a wasteful number, since it uses less digits than its factorization.

57064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 57064 is about 238.8807233747. The cubic root of 57064 is about 38.4994096722.

The spelling of 57064 in words is "fifty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 56 1019 2038 4076 7133 8152 14266 28532 57064