Search a number
-
+
56160432 = 2433711831
BaseRepresentation
bin1101011000111…
…1000010110000
310220200020122000
43112033002300
5103334113212
65323414000
71251233016
oct326170260
9126606560
1056160432
1129779189
1216984300
13b834433
14765c8b6
154de51dc
hex358f0b0

56160432 has 80 divisors (see below), whose sum is σ = 163560960. Its totient is φ = 18446400.

The previous prime is 56160407. The next prime is 56160463. The reversal of 56160432 is 23406165.

56160432 is a `hidden beast` number, since 5 + 616 + 0 + 43 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56160396 and 56160405.

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, 29757 + ... + 31587.

It is an arithmetic number, because the mean of its divisors is an integer number (2044512).

Almost surely, 256160432 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 56160432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81780480).

56160432 is an abundant number, since it is smaller than the sum of its proper divisors (107400528).

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

56160432 is a wasteful number, since it uses less digits than its factorization.

56160432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56160432 is about 7494.0264210903. The cubic root of 56160432 is about 382.9512398528.

Adding to 56160432 its reverse (23406165), we get a palindrome (79566597).

The spelling of 56160432 in words is "fifty-six million, one hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 852 1136 1278 1704 1831 1917 2556 3408 3662 3834 5112 5493 7324 7668 10224 10986 14648 15336 16479 21972 29296 30672 32958 43944 49437 65916 87888 98874 130001 131832 197748 260002 263664 390003 395496 520004 780006 790992 1040008 1170009 1560012 2080016 2340018 3120024 3510027 4680036 6240048 7020054 9360072 14040108 18720144 28080216 56160432