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57069760 = 2651131523
BaseRepresentation
bin1101100110110…
…1000011000000
310222101102222211
43121231003000
5104102213020
65355111504
71262041066
oct331550300
9128342884
1057069760
112a23a3a0
1217142594
13ba922b7
147818036
15502485a
hex366d0c0

57069760 has 112 divisors (see below), whose sum is σ = 153326592. Its totient is φ = 20044800.

The previous prime is 57069751. The next prime is 57069769. The reversal of 57069760 is 6796075.

It is an interprime number because it is at equal distance from previous prime (57069751) and next prime (57069769).

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 (57069769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108859 + ... + 109381.

Almost surely, 257069760 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 57069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76663296).

57069760 is an abundant number, since it is smaller than the sum of its proper divisors (96256832).

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

57069760 is a wasteful number, since it uses less digits than its factorization.

57069760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The square root of 57069760 is about 7554.4529914482. The cubic root of 57069760 is about 385.0070499637.

The spelling of 57069760 in words is "fifty-seven million, sixty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 155 160 176 220 248 310 320 341 352 440 496 523 620 682 704 880 992 1046 1240 1364 1705 1760 1984 2092 2480 2615 2728 3410 3520 4184 4960 5230 5456 5753 6820 8368 9920 10460 10912 11506 13640 16213 16736 20920 21824 23012 27280 28765 32426 33472 41840 46024 54560 57530 64852 81065 83680 92048 109120 115060 129704 162130 167360 178343 184096 230120 259408 324260 356686 368192 460240 518816 648520 713372 891715 920480 1037632 1297040 1426744 1783430 1840960 2594080 2853488 3566860 5188160 5706976 7133720 11413952 14267440 28534880 57069760