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57189720 = 23357103661
BaseRepresentation
bin1101101000101…
…0010101011000
310222121112112210
43122022111120
5104120032340
65401435120
71263050610
oct332122530
9128545483
1057189720
112a311535
121719baa0
13bb04a93
147849a40
15504a180
hex368a558

57189720 has 128 divisors (see below), whose sum is σ = 198282240. Its totient is φ = 12925440.

The previous prime is 57189701. The next prime is 57189731. The reversal of 57189720 is 2798175.

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, 86190 + ... + 86850.

It is an arithmetic number, because the mean of its divisors is an integer number (1549080).

Almost surely, 257189720 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 57189720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99141120).

57189720 is an abundant number, since it is smaller than the sum of its proper divisors (141092520).

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

57189720 is a wasteful number, since it uses less digits than its factorization.

57189720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 57189720 is about 7562.3885115749. The cubic root of 57189720 is about 385.2766213503.

The spelling of 57189720 in words is "fifty-seven million, one hundred eighty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 103 105 120 140 168 206 210 280 309 412 420 515 618 661 721 824 840 1030 1236 1322 1442 1545 1983 2060 2163 2472 2644 2884 3090 3305 3605 3966 4120 4326 4627 5288 5768 6180 6610 7210 7932 8652 9254 9915 10815 12360 13220 13881 14420 15864 17304 18508 19830 21630 23135 26440 27762 28840 37016 39660 43260 46270 55524 68083 69405 79320 86520 92540 111048 136166 138810 185080 204249 272332 277620 340415 408498 476581 544664 555240 680830 816996 953162 1021245 1361660 1429743 1633992 1906324 2042490 2382905 2723320 2859486 3812648 4084980 4765810 5718972 7148715 8169960 9531620 11437944 14297430 19063240 28594860 57189720