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57058060 = 22541149467
BaseRepresentation
bin1101100110101…
…0001100001100
310222100211221111
43121222030030
5104101324220
65354541404
71261662013
oct331521414
9128324844
1057058060
112a231624
1217137864
13ba89b87
147813a7a
15502115a
hex366a30c

57058060 has 48 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 22069760.

The previous prime is 57058037. The next prime is 57058061. The reversal of 57058060 is 6085075.

It is not an unprimeable number, because it can be changed into a prime (57058061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121947 + ... + 122413.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 257058060 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 57058060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

57058060 is an abundant number, since it is smaller than the sum of its proper divisors (66774740).

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

57058060 is a wasteful number, since it uses less digits than its factorization.

57058060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 57058060 is about 7553.6785740459. The cubic root of 57058060 is about 384.9807377781.

The spelling of 57058060 in words is "fifty-seven million, fifty-eight thousand, sixty".

Divisors: 1 2 4 5 10 20 41 82 149 164 205 298 410 467 596 745 820 934 1490 1868 2335 2980 4670 6109 9340 12218 19147 24436 30545 38294 61090 69583 76588 95735 122180 139166 191470 278332 347915 382940 695830 1391660 2852903 5705806 11411612 14264515 28529030 57058060