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56603430 = 232513101479
BaseRepresentation
bin1101011111101…
…1001100100110
310221111202022100
43113323030212
5103442302210
65341112530
71255056402
oct327731446
9127452270
1056603430
1129a50aa4
1216b58746
13b95ac70
147736102
154e815c0
hex35fb326

56603430 has 96 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 13766400.

The previous prime is 56603383. The next prime is 56603453. The reversal of 56603430 is 3430665.

56603430 is a `hidden beast` number, since 56 + 603 + 4 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56603394 and 56603403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117931 + ... + 118409.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 256603430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56603430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

56603430 is an abundant number, since it is smaller than the sum of its proper divisors (103789530).

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

56603430 is a wasteful number, since it uses less digits than its factorization.

56603430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 56603430 is about 7523.5251046301. The cubic root of 56603430 is about 383.9555205642.

The spelling of 56603430 in words is "fifty-six million, six hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 101 117 130 195 202 234 303 390 479 505 585 606 909 958 1010 1170 1313 1437 1515 1818 2395 2626 2874 3030 3939 4311 4545 4790 6227 6565 7185 7878 8622 9090 11817 12454 13130 14370 18681 19695 21555 23634 31135 37362 39390 43110 48379 56043 59085 62270 93405 96758 112086 118170 145137 186810 241895 280215 290274 435411 483790 560430 628927 725685 870822 1257854 1451370 1886781 2177055 3144635 3773562 4354110 5660343 6289270 9433905 11320686 18867810 28301715 56603430