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57640 = 23511131
BaseRepresentation
bin1110000100101000
32221001211
432010220
53321030
61122504
7330022
oct160450
987054
1057640
113a340
1229434
132030b
1417012
151212a
hexe128

57640 has 32 divisors (see below), whose sum is σ = 142560. Its totient is φ = 20800.

The previous prime is 57637. The next prime is 57641. The reversal of 57640 is 4675.

It can be divided in two parts, 576 and 40, that added together give a palindrome (616).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (57641) 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, 375 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (4455).

257640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71280).

57640 is an abundant number, since it is smaller than the sum of its proper divisors (84920).

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

57640 is a wasteful number, since it uses less digits than its factorization.

57640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

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

The square root of 57640 is about 240.0833188708. The cubic root of 57640 is about 38.6285130322.

The spelling of 57640 in words is "fifty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 131 220 262 440 524 655 1048 1310 1441 2620 2882 5240 5764 7205 11528 14410 28820 57640