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57016980 = 22335176211
BaseRepresentation
bin1101100110000…
…0001010010100
310222021202121000
43121200022110
5104044020410
65354023300
71261431156
oct331401224
9128252530
1057016980
112a203779
1217117b30
13ba74277
147802ad6
155013dc0
hex3660294

57016980 has 96 divisors (see below), whose sum is σ = 187850880. Its totient is φ = 14307840.

The previous prime is 57016979. The next prime is 57017021. The reversal of 57016980 is 8961075.

57016980 is a `hidden beast` number, since 570 + 1 + 6 + 9 + 80 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6075 + ... + 12285.

It is an arithmetic number, because the mean of its divisors is an integer number (1956780).

Almost surely, 257016980 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 57016980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93925440).

57016980 is an abundant number, since it is smaller than the sum of its proper divisors (130833900).

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

57016980 is a wasteful number, since it uses less digits than its factorization.

57016980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 57016980 is about 7550.9588795066. The cubic root of 57016980 is about 384.8883242747. Note that the first 3 decimals are identical.

The spelling of 57016980 in words is "fifty-seven million, sixteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 6211 9180 12422 18633 24844 31055 37266 55899 62110 74532 93165 105587 111798 124220 167697 186330 211174 223596 279495 316761 335394 372660 422348 527935 558990 633522 670788 838485 950283 1055870 1117980 1267044 1583805 1676970 1900566 2111740 2850849 3167610 3353940 3801132 4751415 5701698 6335220 9502830 11403396 14254245 19005660 28508490 57016980