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57163920 = 24351159367
BaseRepresentation
bin1101101000010…
…0000010010000
310222120020011020
43122010002100
5104113221140
65401115440
71262612442
oct332040220
9128506136
1057163920
112a2a4110
1217188b80
13bac6108
147840492
1550426d0
hex3684090

57163920 has 160 divisors (see below), whose sum is σ = 197130240. Its totient is φ = 13585920.

The previous prime is 57163903. The next prime is 57163921. The reversal of 57163920 is 2936175.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57163921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155577 + ... + 155943.

It is an arithmetic number, because the mean of its divisors is an integer number (1232064).

Almost surely, 257163920 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 57163920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98565120).

57163920 is an abundant number, since it is smaller than the sum of its proper divisors (139966320).

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

57163920 is a wasteful number, since it uses less digits than its factorization.

57163920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 57163920 is about 7560.6825088744. The cubic root of 57163920 is about 385.2186760181.

The spelling of 57163920 in words is "fifty-seven million, one hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 59 60 66 80 88 110 118 120 132 165 176 177 220 236 240 264 295 330 354 367 440 472 528 590 649 660 708 734 880 885 944 1101 1180 1298 1320 1416 1468 1770 1835 1947 2202 2360 2596 2640 2832 2936 3245 3540 3670 3894 4037 4404 4720 5192 5505 5872 6490 7080 7340 7788 8074 8808 9735 10384 11010 12111 12980 14160 14680 15576 16148 17616 19470 20185 21653 22020 24222 25960 29360 31152 32296 38940 40370 43306 44040 48444 51920 60555 64592 64959 77880 80740 86612 88080 96888 108265 121110 129918 155760 161480 173224 193776 216530 238183 242220 259836 322960 324795 346448 433060 476366 484440 519672 649590 714549 866120 952732 968880 1039344 1190915 1299180 1429098 1732240 1905464 2381830 2598360 2858196 3572745 3810928 4763660 5196720 5716392 7145490 9527320 11432784 14290980 19054640 28581960 57163920