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57480 = 2335479
BaseRepresentation
bin1110000010001000
32220211220
432002020
53314410
61122040
7326403
oct160210
986756
1057480
113a205
1229320
1320217
1416d3a
1512070
hexe088

57480 has 32 divisors (see below), whose sum is σ = 172800. Its totient is φ = 15296.

The previous prime is 57467. The next prime is 57487. The reversal of 57480 is 8475.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 57480.

It is not an unprimeable number, because it can be changed into a prime (57487) by changing a digit.

57480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

257480 is an apocalyptic number.

It is an amenable number.

57480 is an abundant number, since it is smaller than the sum of its proper divisors (115320).

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 (86400).

57480 is a wasteful number, since it uses less digits than its factorization.

57480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 57480 is about 239.7498696559. The cubic root of 57480 is about 38.5927375887.

The spelling of 57480 in words is "fifty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 479 958 1437 1916 2395 2874 3832 4790 5748 7185 9580 11496 14370 19160 28740 57480