Search a number
-
+
56699040 = 2535196217
BaseRepresentation
bin1101100001001…
…0100010100000
310221200121110110
43120102202200
5104003332130
65343131320
71255635216
oct330224240
9127617413
1056699040
112a006912
1216ba3b40
13b992638
14775ccb6
154e9eab0
hex36128a0

56699040 has 96 divisors (see below), whose sum is σ = 188032320. Its totient is φ = 14321664.

The previous prime is 56699039. The next prime is 56699047. The reversal of 56699040 is 4099665.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×566990402 = 6429562273843200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56699040.

It is not an unprimeable number, because it can be changed into a prime (56699047) 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, 6012 + ... + 12228.

It is an arithmetic number, because the mean of its divisors is an integer number (1958670).

Almost surely, 256699040 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 56699040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94016160).

56699040 is an abundant number, since it is smaller than the sum of its proper divisors (131333280).

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

56699040 is a wasteful number, since it uses less digits than its factorization.

56699040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 56699040 is about 7529.8764930110. The cubic root of 56699040 is about 384.1715813076.

The spelling of 56699040 in words is "fifty-six million, six hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 6217 9120 12434 18651 24868 31085 37302 49736 62170 74604 93255 99472 118123 124340 149208 186510 198944 236246 248680 298416 354369 373020 472492 497360 590615 596832 708738 746040 944984 994720 1181230 1417476 1492080 1771845 1889968 2362460 2834952 2984160 3543690 3779936 4724920 5669904 7087380 9449840 11339808 14174760 18899680 28349520 56699040