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57134610 = 232513471039
BaseRepresentation
bin1101100111110…
…0111000010010
310222111201221200
43121330320102
5104111301420
65400332030
71262431131
oct331747022
9128451850
1057134610
112a284095
1217174016
13bab5980
147833918
155038b90
hex367ce12

57134610 has 96 divisors (see below), whose sum is σ = 163537920. Its totient is φ = 13751424.

The previous prime is 57134551. The next prime is 57134621. The reversal of 57134610 is 1643175.

57134610 is a `hidden beast` number, since 571 + 34 + 61 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54471 + ... + 55509.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 257134610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57134610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81768960).

57134610 is an abundant number, since it is smaller than the sum of its proper divisors (106403310).

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

57134610 is a wasteful number, since it uses less digits than its factorization.

57134610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 57134610 is about 7558.7439432752. The cubic root of 57134610 is about 385.1528262673.

Adding to 57134610 its reverse (1643175), we get a palindrome (58777785).

The spelling of 57134610 in words is "fifty-seven million, one hundred thirty-four thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 47 65 78 90 94 117 130 141 195 234 235 282 390 423 470 585 611 705 846 1039 1170 1222 1410 1833 2078 2115 3055 3117 3666 4230 5195 5499 6110 6234 9165 9351 10390 10998 13507 15585 18330 18702 27014 27495 31170 40521 46755 48833 54990 67535 81042 93510 97666 121563 135070 146499 202605 243126 244165 292998 405210 439497 488330 607815 634829 732495 878994 1215630 1269658 1464990 1904487 2197485 3174145 3808974 4394970 5713461 6348290 9522435 11426922 19044870 28567305 57134610