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56660736 = 2831119353
BaseRepresentation
bin1101100000100…
…1001100000000
310221121122220210
43120021030000
5104001120421
65342234120
71255415436
oct330111400
9127548823
1056660736
1129a90060
1216b85940
13b97b082
14774cd56
154e93576
hex3609300

56660736 has 144 divisors (see below), whose sum is σ = 173658240. Its totient is φ = 16220160.

The previous prime is 56660719. The next prime is 56660741. The reversal of 56660736 is 63706665.

It is a junction number, because it is equal to n+sod(n) for n = 56660694 and 56660703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160336 + ... + 160688.

It is an arithmetic number, because the mean of its divisors is an integer number (1205960).

Almost surely, 256660736 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 56660736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86829120).

56660736 is an abundant number, since it is smaller than the sum of its proper divisors (116997504).

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

56660736 is a wasteful number, since it uses less digits than its factorization.

56660736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 56660736 is about 7527.3325952823. The cubic root of 56660736 is about 384.0850506055.

The spelling of 56660736 in words is "fifty-six million, six hundred sixty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 353 384 418 456 528 608 627 704 706 768 836 912 1056 1059 1216 1254 1408 1412 1672 1824 2112 2118 2432 2508 2816 2824 3344 3648 3883 4224 4236 4864 5016 5648 6688 6707 7296 7766 8448 8472 10032 11296 11649 13376 13414 14592 15532 16944 20064 20121 22592 23298 26752 26828 31064 33888 40128 40242 45184 46596 53504 53656 62128 67776 73777 80256 80484 90368 93192 107312 124256 135552 147554 160512 160968 186384 214624 221331 248512 271104 295108 321936 372768 429248 442662 497024 590216 643872 745536 858496 885324 994048 1180432 1287744 1491072 1716992 1770648 2360864 2575488 2982144 3541296 4721728 5150976 7082592 9443456 14165184 18886912 28330368 56660736