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56694240 = 2532539371
BaseRepresentation
bin1101100001000…
…1010111100000
310221200100212200
43120101113200
5104003203430
65343053200
71255615221
oct330212740
9127610780
1056694240
112a003249
1216ba1200
13b9903b5
14775b248
154e9d460
hex36115e0

56694240 has 72 divisors (see below), whose sum is σ = 193474008. Its totient is φ = 15118080.

The previous prime is 56694227. The next prime is 56694251. The reversal of 56694240 is 4249665.

56694240 is a `hidden beast` number, since 566 + 94 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56694195 and 56694204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18246 + ... + 21125.

It is an arithmetic number, because the mean of its divisors is an integer number (2687139).

Almost surely, 256694240 is an apocalyptic number.

It is an amenable number.

56694240 is an abundant number, since it is smaller than the sum of its proper divisors (136779768).

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

56694240 is a wasteful number, since it uses less digits than its factorization.

56694240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39392 (or 39381 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 56694240 is about 7529.5577559376. The cubic root of 56694240 is about 384.1607399975.

The spelling of 56694240 in words is "fifty-six million, six hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 39371 78742 118113 157484 196855 236226 314968 354339 393710 472452 590565 629936 708678 787420 944904 1181130 1259872 1417356 1574840 1771695 1889808 2362260 2834712 3149680 3543390 3779616 4724520 5669424 6299360 7086780 9449040 11338848 14173560 18898080 28347120 56694240