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56131240 = 23511295383
BaseRepresentation
bin1101011000011…
…1111010101000
310220121202120211
43112013322220
5103332144430
65323030504
71251051634
oct326077250
9126552524
1056131240
1129759260
121696b434
13b824069
147651dc4
154ddb72a
hex3587ea8

56131240 has 128 divisors (see below), whose sum is σ = 146966400. Its totient is φ = 19102720.

The previous prime is 56131219. The next prime is 56131241. The reversal of 56131240 is 4213165.

It is a super-2 number, since 2×561312402 = 6301432207875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (56131241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676239 + ... + 676321.

It is an arithmetic number, because the mean of its divisors is an integer number (1148175).

Almost surely, 256131240 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 56131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73483200).

56131240 is an abundant number, since it is smaller than the sum of its proper divisors (90835160).

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

56131240 is a wasteful number, since it uses less digits than its factorization.

56131240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 56131240 is about 7492.0784833049. The cubic root of 56131240 is about 382.8848761058.

The spelling of 56131240 in words is "fifty-six million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 53 55 58 83 88 106 110 116 145 166 212 220 232 265 290 319 332 415 424 440 530 580 583 638 664 830 913 1060 1160 1166 1276 1537 1595 1660 1826 2120 2332 2407 2552 2915 3074 3190 3320 3652 4399 4565 4664 4814 5830 6148 6380 7304 7685 8798 9130 9628 11660 12035 12296 12760 15370 16907 17596 18260 19256 21995 23320 24070 26477 30740 33814 35192 36520 43990 48140 48389 52954 61480 67628 84535 87980 96280 96778 105908 127571 132385 135256 169070 175960 193556 211816 241945 255142 264770 338140 387112 483890 510284 529540 637855 676280 967780 1020568 1059080 1275710 1403281 1935560 2551420 2806562 5102840 5613124 7016405 11226248 14032810 28065620 56131240