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56681740 = 22517433877
BaseRepresentation
bin1101100000111…
…0010100001100
310221122201201201
43120032110030
5104002303430
65342515244
71255533613
oct330162414
9127581651
1056681740
1129aa4915
1216b95b24
13b9877bb
14775687a
154e998ca
hex360e50c

56681740 has 48 divisors (see below), whose sum is σ = 128997792. Its totient is φ = 20837376.

The previous prime is 56681719. The next prime is 56681741. The reversal of 56681740 is 4718665.

It is a self number, because there is not a number n which added to its sum of digits gives 56681740.

It is not an unprimeable number, because it can be changed into a prime (56681741) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12682 + ... + 16558.

It is an arithmetic number, because the mean of its divisors is an integer number (2687454).

Almost surely, 256681740 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 56681740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64498896).

56681740 is an abundant number, since it is smaller than the sum of its proper divisors (72316052).

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

56681740 is a wasteful number, since it uses less digits than its factorization.

56681740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 56681740 is about 7528.7276481488. The cubic root of 56681740 is about 384.1325045471.

The spelling of 56681740 in words is "fifty-six million, six hundred eighty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 1462 2924 3655 3877 7310 7754 14620 15508 19385 38770 65909 77540 131818 166711 263636 329545 333422 659090 666844 833555 1318180 1667110 2834087 3334220 5668174 11336348 14170435 28340870 56681740