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56678130 = 2345167419
BaseRepresentation
bin1101100000110…
…1011011110010
310221122112210000
43120031123302
5104002200010
65342450430
71255520235
oct330153362
9127575700
1056678130
1129aa2133
1216b93a16
13b985c72
14775541c
154e987c0
hex360d6f2

56678130 has 80 divisors (see below), whose sum is σ = 153679680. Its totient is φ = 14987808.

The previous prime is 56678129. The next prime is 56678131. The reversal of 56678130 is 3187665.

It is an interprime number because it is at equal distance from previous prime (56678129) and next prime (56678131).

It is not an unprimeable number, because it can be changed into a prime (56678131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135061 + ... + 135479.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996).

Almost surely, 256678130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56678130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76839840).

56678130 is an abundant number, since it is smaller than the sum of its proper divisors (97001550).

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

56678130 is a wasteful number, since it uses less digits than its factorization.

56678130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 56678130 is about 7528.4878959855. The cubic root of 56678130 is about 384.1243493765.

The spelling of 56678130 in words is "fifty-six million, six hundred seventy-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 167 270 334 405 419 501 810 835 838 1002 1257 1503 1670 2095 2505 2514 3006 3771 4190 4509 5010 6285 7515 7542 9018 11313 12570 13527 15030 18855 22545 22626 27054 33939 37710 45090 56565 67635 67878 69973 113130 135270 139946 169695 209919 339390 349865 419838 629757 699730 1049595 1259514 1889271 2099190 3148785 3778542 5667813 6297570 9446355 11335626 18892710 28339065 56678130