Search a number
-
+
56668040 = 23511139907
BaseRepresentation
bin1101100000101…
…0111110001000
310221122000221022
43120022332020
5104001334130
65342332012
71255445642
oct330127610
9127560838
1056668040
1129a955a0
1216b8a008
13b9814b0
147751892
154e957e5
hex360af88

56668040 has 64 divisors (see below), whose sum is σ = 149808960. Its totient is φ = 19019520.

The previous prime is 56668039. The next prime is 56668049. The reversal of 56668040 is 4086665.

It is a super-2 number, since 2×566680402 = 6422533514883200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56668049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767 + ... + 10673.

It is an arithmetic number, because the mean of its divisors is an integer number (2340765).

Almost surely, 256668040 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 56668040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74904480).

56668040 is an abundant number, since it is smaller than the sum of its proper divisors (93140920).

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

56668040 is a wasteful number, since it uses less digits than its factorization.

56668040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9942 (or 9938 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 56668040 is about 7527.8177448714. The cubic root of 56668040 is about 384.1015537249.

The spelling of 56668040 in words is "fifty-six million, six hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 9907 19814 39628 49535 79256 99070 108977 128791 198140 217954 257582 396280 435908 515164 544885 643955 871816 1030328 1089770 1287910 1416701 2179540 2575820 2833402 4359080 5151640 5666804 7083505 11333608 14167010 28334020 56668040