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57053260 = 225113743163
BaseRepresentation
bin1101100110100…
…1000001001100
310222100121100201
43121221001030
5104101201020
65354503244
71261642015
oct331510114
9128317321
1057053260
112a228a60
1217134b24
13ba87934
14781200c
15501ea0a
hex366904c

57053260 has 96 divisors (see below), whose sum is σ = 138200832. Its totient is φ = 19595520.

The previous prime is 57053233. The next prime is 57053273. The reversal of 57053260 is 6235075.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 349939 + ... + 350101.

It is an arithmetic number, because the mean of its divisors is an integer number (1439592).

Almost surely, 257053260 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 57053260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69100416).

57053260 is an abundant number, since it is smaller than the sum of its proper divisors (81147572).

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

57053260 is a wasteful number, since it uses less digits than its factorization.

57053260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 57053260 is about 7553.3608413739. The cubic root of 57053260 is about 384.9699419947.

The spelling of 57053260 in words is "fifty-seven million, fifty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 37 43 44 55 74 86 110 148 163 172 185 215 220 326 370 407 430 473 652 740 814 815 860 946 1591 1628 1630 1793 1892 2035 2365 3182 3260 3586 4070 4730 6031 6364 7009 7172 7955 8140 8965 9460 12062 14018 15910 17501 17930 24124 28036 30155 31820 35002 35045 35860 60310 66341 70004 70090 77099 87505 120620 132682 140180 154198 175010 259333 265364 308396 331705 350020 385495 518666 663410 770990 1037332 1296665 1326820 1541980 2593330 2852663 5186660 5705326 11410652 14263315 28526630 57053260