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56834760 = 2335677069
BaseRepresentation
bin1101100011001…
…1101011001000
310221221111122010
43120303223020
5104022203020
65350055520
71260042003
oct330635310
9127844563
1056834760
112a099884
121704a5a0
13ba0c348
14779653a
154ec9de0
hex3633ac8

56834760 has 64 divisors (see below), whose sum is σ = 173073600. Its totient is φ = 14927616.

The previous prime is 56834753. The next prime is 56834761. The reversal of 56834760 is 6743865.

56834760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56834761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4506 + ... + 11574.

It is an arithmetic number, because the mean of its divisors is an integer number (2704275).

Almost surely, 256834760 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 56834760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86536800).

56834760 is an abundant number, since it is smaller than the sum of its proper divisors (116238840).

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

56834760 is a wasteful number, since it uses less digits than its factorization.

56834760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 56834760 is about 7538.8832064172. The cubic root of 56834760 is about 384.4778664469.

The spelling of 56834760 in words is "fifty-six million, eight hundred thirty-four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 7069 8040 14138 21207 28276 35345 42414 56552 70690 84828 106035 141380 169656 212070 282760 424140 473623 848280 947246 1420869 1894492 2368115 2841738 3788984 4736230 5683476 7104345 9472460 11366952 14208690 18944920 28417380 56834760