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56930040 = 233555857
BaseRepresentation
bin1101100100101…
…0111011111000
310222010100100000
43121022323320
5104033230130
65352113000
71260616536
oct331127370
9128110300
1056930040
112a154422
1217095760
13ba4381b
1477bd156
154ee8260
hex364aef8

56930040 has 96 divisors (see below), whose sum is σ = 191908080. Its totient is φ = 15178752.

The previous prime is 56930021. The next prime is 56930047. The reversal of 56930040 is 4003965.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 56929986 and 56930013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56930047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6792 + ... + 12648.

Almost surely, 256930040 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 56930040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95954040).

56930040 is an abundant number, since it is smaller than the sum of its proper divisors (134978040).

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

56930040 is a wasteful number, since it uses less digits than its factorization.

56930040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 56930040 is about 7545.1997985474. The cubic root of 56930040 is about 384.6925977084.

56930040 divided by its product of nonzero digits (3240) gives a palindrome (17571).

The spelling of 56930040 in words is "fifty-six million, nine hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 5857 9720 11714 17571 23428 29285 35142 46856 52713 58570 70284 87855 105426 117140 140568 158139 175710 210852 234280 263565 316278 351420 421704 474417 527130 632556 702840 790695 948834 1054260 1265112 1423251 1581390 1897668 2108520 2372085 2846502 3162780 3795336 4744170 5693004 6325560 7116255 9488340 11386008 14232510 18976680 28465020 56930040