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20963688 = 23319311483
BaseRepresentation
bin100111111111…
…0000101101000
31110110001202220
41033332011220
520331314223
62025154040
7343121424
oct117760550
943401686
1020963688
1110919369
12702b920
13445cc65
142ad9b84
151c916e3
hex13fe168

20963688 has 64 divisors (see below), whose sum is σ = 56985600. Its totient is φ = 6402240.

The previous prime is 20963681. The next prime is 20963689. The reversal of 20963688 is 88636902.

It is a super-2 number, since 2×209636882 = 878952429122688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20963681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13395 + ... + 14877.

It is an arithmetic number, because the mean of its divisors is an integer number (890400).

Almost surely, 220963688 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 20963688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28492800).

20963688 is an abundant number, since it is smaller than the sum of its proper divisors (36021912).

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

20963688 is a wasteful number, since it uses less digits than its factorization.

20963688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 20963688 is about 4578.6120167579. The cubic root of 20963688 is about 275.7333067599.

The spelling of 20963688 in words is "twenty million, nine hundred sixty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 1178 1483 1767 2356 2966 3534 4449 4712 5932 7068 8898 11864 14136 17796 28177 35592 45973 56354 84531 91946 112708 137919 169062 183892 225416 275838 338124 367784 551676 676248 873487 1103352 1746974 2620461 3493948 5240922 6987896 10481844 20963688