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56001090 = 23523277293
BaseRepresentation
bin1101010110100…
…0001001000010
310220101011001110
43111220021002
5103314013330
65320144150
71250000325
oct325501102
9126334043
1056001090
112967a4a2
1216908056
13b7a9a52
14761a7bc
154db2db0
hex3568242

56001090 has 64 divisors (see below), whose sum is σ = 141232896. Its totient is φ = 14184192.

The previous prime is 56001083. The next prime is 56001133. The reversal of 56001090 is 9010065.

It is a super-2 number, since 2×560010902 = 6272244162376200, which contains 22 as substring.

It is a Curzon 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, 190984 + ... + 191276.

It is an arithmetic number, because the mean of its divisors is an integer number (2206764).

Almost surely, 256001090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56001090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70616448).

56001090 is an abundant number, since it is smaller than the sum of its proper divisors (85231806).

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

56001090 is a wasteful number, since it uses less digits than its factorization.

56001090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 56001090 is about 7483.3876018819. The cubic root of 56001090 is about 382.5887187943.

Subtracting from 56001090 its reverse (9010065), we obtain a square (46991025 = 68552).

The spelling of 56001090 in words is "fifty-six million, one thousand, ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 277 293 345 554 586 690 831 879 1385 1465 1662 1758 2770 2930 4155 4395 6371 6739 8310 8790 12742 13478 19113 20217 31855 33695 38226 40434 63710 67390 81161 95565 101085 162322 191130 202170 243483 405805 486966 811610 1217415 1866703 2434830 3733406 5600109 9333515 11200218 18667030 28000545 56001090