Search a number
-
+
57135240 = 2333552903
BaseRepresentation
bin1101100111110…
…1000010001000
310222111202211000
43121331002020
5104111311430
65400335000
71262433021
oct331750210
9128452730
1057135240
112a284608
1217174460
13bab6046
147833c48
155038e60
hex367d088

57135240 has 64 divisors (see below), whose sum is σ = 190454400. Its totient is φ = 15235776.

The previous prime is 57135227. The next prime is 57135311. The reversal of 57135240 is 4253175.

It is a happy number.

57135240 is a `hidden beast` number, since 571 + 3 + 52 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25372 + ... + 27531.

It is an arithmetic number, because the mean of its divisors is an integer number (2975850).

Almost surely, 257135240 is an apocalyptic number.

It is an amenable number.

57135240 is an abundant number, since it is smaller than the sum of its proper divisors (133319160).

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

57135240 is a wasteful number, since it uses less digits than its factorization.

57135240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52923 (or 52913 counting only the distinct ones).

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

The square root of 57135240 is about 7558.7856167509. The cubic root of 57135240 is about 385.1542419030.

It can be divided in two parts, 57135 and 240, that added together give a palindrome (57375).

The spelling of 57135240 in words is "fifty-seven million, one hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 52903 105806 158709 211612 264515 317418 423224 476127 529030 634836 793545 952254 1058060 1269672 1428381 1587090 1904508 2116120 2380635 2856762 3174180 3809016 4761270 5713524 6348360 7141905 9522540 11427048 14283810 19045080 28567620 57135240