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57868980 = 2235133439
BaseRepresentation
bin1101110011000…
…0001010110100
311000220001022120
43130300022310
5104303301410
65424155540
71301610141
oct334601264
9130801276
1057868980
112a735904
1217468bb0
13bcb2000
1479853c8
155131570
hex37302b4

57868980 has 96 divisors (see below), whose sum is σ = 175929600. Its totient is φ = 14212224.

The previous prime is 57868973. The next prime is 57868991. The reversal of 57868980 is 8986875.

It is a happy number.

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, 131601 + ... + 132039.

It is an arithmetic number, because the mean of its divisors is an integer number (1832600).

Almost surely, 257868980 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 57868980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87964800).

57868980 is an abundant number, since it is smaller than the sum of its proper divisors (118060620).

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

57868980 is a wasteful number, since it uses less digits than its factorization.

57868980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 57868980 is about 7607.1663581126. The cubic root of 57868980 is about 386.7959717497.

The spelling of 57868980 in words is "fifty-seven million, eight hundred sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 439 507 676 780 845 878 1014 1317 1690 1756 2028 2195 2197 2535 2634 3380 4390 4394 5070 5268 5707 6585 6591 8780 8788 10140 10985 11414 13170 13182 17121 21970 22828 26340 26364 28535 32955 34242 43940 57070 65910 68484 74191 85605 114140 131820 148382 171210 222573 296764 342420 370955 445146 741910 890292 964483 1112865 1483820 1928966 2225730 2893449 3857932 4451460 4822415 5786898 9644830 11573796 14467245 19289660 28934490 57868980