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56067640 = 235532499
BaseRepresentation
bin1101010111100…
…0011000111000
310220111112100021
43111320120320
5103323131030
65321420224
71250365336
oct325703070
9126445307
1056067640
11297154a2
121693a674
13b801125
147636b56
154dc797a
hex3578638

56067640 has 48 divisors (see below), whose sum is σ = 128835000. Its totient is φ = 21959808.

The previous prime is 56067637. The next prime is 56067703. The reversal of 56067640 is 4676065.

56067640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56067596 and 56067605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112111 + ... + 112609.

Almost surely, 256067640 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 56067640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64417500).

56067640 is an abundant number, since it is smaller than the sum of its proper divisors (72767360).

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

56067640 is a wasteful number, since it uses less digits than its factorization.

56067640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 56067640 is about 7487.8327972785. The cubic root of 56067640 is about 382.7402110842.

The spelling of 56067640 in words is "fifty-six million, sixty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 499 530 998 1060 1996 2120 2495 2809 3992 4990 5618 9980 11236 14045 19960 22472 26447 28090 52894 56180 105788 112360 132235 211576 264470 528940 1057880 1401691 2803382 5606764 7008455 11213528 14016910 28033820 56067640