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57140 = 2252857
BaseRepresentation
bin1101111100110100
32220101022
431330310
53312030
61120312
7325406
oct157464
986338
1057140
1139a26
1229098
1320015
1416b76
1511de5
hexdf34

57140 has 12 divisors (see below), whose sum is σ = 120036. Its totient is φ = 22848.

The previous prime is 57139. The next prime is 57143. The reversal of 57140 is 4175.

57140 = T135 + T136 + ... + T140.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29584 + 27556 = 172^2 + 166^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57143) 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, 1409 + ... + 1448.

It is an arithmetic number, because the mean of its divisors is an integer number (10003).

257140 is an apocalyptic number.

It is an amenable number.

57140 is an abundant number, since it is smaller than the sum of its proper divisors (62896).

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 (60018).

57140 is a wasteful number, since it uses less digits than its factorization.

57140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 57140 is about 239.0397456491. The cubic root of 57140 is about 38.5164937481.

The spelling of 57140 in words is "fifty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 2857 5714 11428 14285 28570 57140