Search a number
-
+
57293680 = 245716171
BaseRepresentation
bin1101101010001…
…1101101110000
310222210211011011
43122203231300
5104131344210
65404000304
71263662653
oct332435560
9128724134
1057293680
112a382654
1217230094
13bb401b2
14787589a
15506ad8a
hex36a3b70

57293680 has 20 divisors (see below), whose sum is σ = 133207992. Its totient is φ = 22917440.

The previous prime is 57293671. The next prime is 57293681. The reversal of 57293680 is 8639275.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57293681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 358006 + ... + 358165.

Almost surely, 257293680 is an apocalyptic number.

It is an amenable number.

57293680 is an abundant number, since it is smaller than the sum of its proper divisors (75914312).

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

57293680 is a wasteful number, since it uses less digits than its factorization.

57293680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716184 (or 716178 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 57293680 is about 7569.2588804981. The cubic root of 57293680 is about 385.5099331661.

It can be divided in two parts, 5729 and 3680, that added together give a square (9409 = 972).

The spelling of 57293680 in words is "fifty-seven million, two hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 716171 1432342 2864684 3580855 5729368 7161710 11458736 14323420 28646840 57293680