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20620656 = 243472273
BaseRepresentation
bin100111010101…
…0010101110000
31102210122020000
41032222111300
520234330111
62013550000
7340162350
oct116522560
942718200
1020620656
1110704671
126aa5300
13436ca94
142a4ab60
151c24c56
hex13aa570

20620656 has 100 divisors (see below), whose sum is σ = 68238192. Its totient is φ = 5889024.

The previous prime is 20620651. The next prime is 20620667. The reversal of 20620656 is 65602602.

20620656 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 0 + 656 = 666.

It is a super-2 number, since 2×206206562 = 850422907740672, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20620651) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7936 + ... + 10208.

Almost surely, 220620656 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 20620656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34119096).

20620656 is an abundant number, since it is smaller than the sum of its proper divisors (47617536).

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

20620656 is a wasteful number, since it uses less digits than its factorization.

20620656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20620656 is about 4540.9972473015. The cubic root of 20620656 is about 274.2210729367.

The spelling of 20620656 in words is "twenty million, six hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 2273 3024 4536 4546 6819 9072 9092 13638 15911 18184 20457 27276 31822 36368 40914 47733 54552 61371 63644 81828 95466 109104 122742 127288 143199 163656 184113 190932 245484 254576 286398 327312 368226 381864 429597 490968 572796 736452 763728 859194 981936 1145592 1288791 1472904 1718388 2291184 2577582 2945808 3436776 5155164 6873552 10310328 20620656