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57134520 = 23325198353
BaseRepresentation
bin1101100111110…
…0110110111000
310222111201211100
43121330312320
5104111301040
65400331400
71262430642
oct331746670
9128451740
1057134520
112a284013
1217173b60
13bab5911
147833892
155038b30
hex367cdb8

57134520 has 96 divisors (see below), whose sum is σ = 195483600. Its totient is φ = 14432256.

The previous prime is 57134513. The next prime is 57134527. The reversal of 57134520 is 2543175.

It is a happy number.

57134520 is a `hidden beast` number, since 5 + 7 + 134 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (57134513) and next prime (57134527).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57134527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2664 + ... + 11016.

Almost surely, 257134520 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 57134520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97741800).

57134520 is an abundant number, since it is smaller than the sum of its proper divisors (138349080).

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

57134520 is a wasteful number, since it uses less digits than its factorization.

57134520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8389 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 57134520 is about 7558.7379899028. The cubic root of 57134520 is about 385.1526240328.

Adding to 57134520 its reverse (2543175), we get a palindrome (59677695).

The spelling of 57134520 in words is "fifty-seven million, one hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 8353 16706 25059 33412 41765 50118 66824 75177 83530 100236 125295 150354 158707 167060 200472 250590 300708 317414 334120 375885 476121 501180 601416 634828 751770 793535 952242 1002360 1269656 1428363 1503540 1587070 1904484 2380605 2856726 3007080 3174140 3808968 4761210 5713452 6348280 7141815 9522420 11426904 14283630 19044840 28567260 57134520