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56430160 = 2455313309
BaseRepresentation
bin1101011101000…
…0111001010000
310221011221121221
43113100321100
5103421231120
65333254424
71253435263
oct327207120
9127157557
1056430160
11299428a6
1216a94414
13b8ca137
1476cccda
154e4a0aa
hex35d0e50

56430160 has 40 divisors (see below), whose sum is σ = 133685640. Its totient is φ = 22144512.

The previous prime is 56430149. The next prime is 56430169. The reversal of 56430160 is 6103465.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 56010256 = 648^2 + 7484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×564301603 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56430169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2415 + ... + 10894.

It is an arithmetic number, because the mean of its divisors is an integer number (3342141).

Almost surely, 256430160 is an apocalyptic number.

It is an amenable number.

56430160 is an abundant number, since it is smaller than the sum of its proper divisors (77255480).

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

56430160 is a wasteful number, since it uses less digits than its factorization.

56430160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13375 (or 13369 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 56430160 is about 7512.0010649627. The cubic root of 56430160 is about 383.5633419033.

The spelling of 56430160 in words is "fifty-six million, four hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 13309 26618 53236 66545 106472 133090 212944 266180 532360 705377 1064720 1410754 2821508 3526885 5643016 7053770 11286032 14107540 28215080 56430160