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56590020 = 223252937293
BaseRepresentation
bin1101011111011…
…1111011000100
310221111001220200
43113313323010
5103441340040
65340530500
71255002324
oct327677304
9127431820
1056590020
1129a41a13
1216b50a30
13b954b26
147731284
154e7c630
hex35f7ec4

56590020 has 144 divisors (see below), whose sum is σ = 182997360. Its totient is φ = 14128128.

The previous prime is 56590013. The next prime is 56590033. The reversal of 56590020 is 2009565.

56590020 is a `hidden beast` number, since 5 + 659 + 0 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10458756 + 46131264 = 3234^2 + 6792^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192994 + ... + 193286.

It is an arithmetic number, because the mean of its divisors is an integer number (1270815).

Almost surely, 256590020 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 56590020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91498680).

56590020 is an abundant number, since it is smaller than the sum of its proper divisors (126407340).

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

56590020 is a wasteful number, since it uses less digits than its factorization.

56590020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 56590020 is about 7522.6338472639. The cubic root of 56590020 is about 383.9251970179.

Adding to 56590020 its reverse (2009565), we get a palindrome (58599585).

The spelling of 56590020 in words is "fifty-six million, five hundred ninety thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 37 45 58 60 74 87 90 111 116 145 148 174 180 185 222 261 290 293 333 348 370 435 444 522 555 580 586 666 740 870 879 1044 1073 1110 1172 1305 1332 1465 1665 1740 1758 2146 2220 2610 2637 2930 3219 3330 3516 4292 4395 5220 5274 5365 5860 6438 6660 8497 8790 9657 10548 10730 10841 12876 13185 16095 16994 17580 19314 21460 21682 25491 26370 32190 32523 33988 38628 42485 43364 48285 50982 52740 54205 64380 65046 76473 84970 96570 97569 101964 108410 127455 130092 152946 162615 169940 193140 195138 216820 254910 305892 314389 325230 382365 390276 487845 509820 628778 650460 764730 943167 975690 1257556 1529460 1571945 1886334 1951380 2829501 3143890 3772668 4715835 5659002 6287780 9431670 11318004 14147505 18863340 28295010 56590020