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20056736 = 2571723229
BaseRepresentation
bin100110010000…
…0101010100000
31101201222200002
41030200222200
520113303421
61553515132
7332323310
oct114405240
941658602
1020056736
1110359a17
126872aa8
1342031bb
142941440
151b62b0b
hex1320aa0

20056736 has 96 divisors (see below), whose sum is σ = 50077440. Its totient is φ = 7704576.

The previous prime is 20056703. The next prime is 20056769. The reversal of 20056736 is 63765002.

It is an interprime number because it is at equal distance from previous prime (20056703) and next prime (20056769).

It is a junction number, because it is equal to n+sod(n) for n = 20056699 and 20056708.

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, 87470 + ... + 87698.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 220056736 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 20056736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

20056736 is an abundant number, since it is smaller than the sum of its proper divisors (30020704).

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

20056736 is a wasteful number, since it uses less digits than its factorization.

20056736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 20056736 is about 4478.4747403552. The cubic root of 20056736 is about 271.6981946589.

The spelling of 20056736 in words is "twenty million, fifty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 68 92 112 119 136 161 184 224 229 238 272 322 368 391 458 476 544 644 736 782 916 952 1288 1564 1603 1832 1904 2576 2737 3128 3206 3664 3808 3893 5152 5267 5474 6256 6412 7328 7786 10534 10948 12512 12824 15572 21068 21896 25648 27251 31144 36869 42136 43792 51296 54502 62288 73738 84272 87584 89539 109004 124576 147476 168544 179078 218008 294952 358156 436016 589904 626773 716312 872032 1179808 1253546 1432624 2507092 2865248 5014184 10028368 20056736