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57381140 = 225192941127
BaseRepresentation
bin1101101011100…
…1000100010100
310222222021010102
43122321010110
5104142144030
65405513232
71264505645
oct332710424
9128867112
1057381140
112a432333
1217272818
13bb70c4b
1478996cc
155086c45
hex36b9114

57381140 has 96 divisors (see below), whose sum is σ = 135475200. Its totient is φ = 20321280.

The previous prime is 57381119. The next prime is 57381173. The reversal of 57381140 is 4118375.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451757 + ... + 451883.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 257381140 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 57381140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

57381140 is an abundant number, since it is smaller than the sum of its proper divisors (78094060).

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

57381140 is a wasteful number, since it uses less digits than its factorization.

57381140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 57381140 is about 7575.0339933231. The cubic root of 57381140 is about 385.7059964252.

The spelling of 57381140 in words is "fifty-seven million, three hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 41 58 76 82 95 116 127 145 164 190 205 254 290 380 410 508 551 580 635 779 820 1102 1189 1270 1558 2204 2378 2413 2540 2755 3116 3683 3895 4756 4826 5207 5510 5945 7366 7790 9652 10414 11020 11890 12065 14732 15580 18415 20828 22591 23780 24130 26035 36830 45182 48260 52070 69977 73660 90364 98933 104140 112955 139954 151003 197866 225910 279908 302006 349885 395732 451820 494665 604012 699770 755015 989330 1399540 1510030 1978660 2869057 3020060 5738114 11476228 14345285 28690570 57381140