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56131590 = 2353761829
BaseRepresentation
bin1101011000100…
…0000000000110
310220121210001210
43112020000012
5103332202330
65323032250
71251052644
oct326100006
9126553053
1056131590
1129759549
121696b686
13b824278
147652194
154ddb8b0
hex3588006

56131590 has 64 divisors (see below), whose sum is σ = 140794560. Its totient is φ = 14307840.

The previous prime is 56131571. The next prime is 56131609. The reversal of 56131590 is 9513165.

It is an interprime number because it is at equal distance from previous prime (56131571) and next prime (56131609).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67296 + ... + 68124.

It is an arithmetic number, because the mean of its divisors is an integer number (2199915).

Almost surely, 256131590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56131590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70397280).

56131590 is an abundant number, since it is smaller than the sum of its proper divisors (84662970).

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

56131590 is a wasteful number, since it uses less digits than its factorization.

56131590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 56131590 is about 7492.1018412726. The cubic root of 56131590 is about 382.8856719159.

The spelling of 56131590 in words is "fifty-six million, one hundred thirty-one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 61 74 111 122 183 185 222 305 366 370 555 610 829 915 1110 1658 1830 2257 2487 4145 4514 4974 6771 8290 11285 12435 13542 22570 24870 30673 33855 50569 61346 67710 92019 101138 151707 153365 184038 252845 303414 306730 460095 505690 758535 920190 1517070 1871053 3742106 5613159 9355265 11226318 18710530 28065795 56131590