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20963904 = 2631337227
BaseRepresentation
bin100111111111…
…0001001000000
31110110002001220
41033332021000
520331321104
62025155040
7343122153
oct117761100
943402056
1020963904
1110919545
12702ba80
1344600a0
142ad9c9a
151c917d9
hex13fe240

20963904 has 112 divisors (see below), whose sum is σ = 61618368. Its totient is φ = 6248448.

The previous prime is 20963893. The next prime is 20963909. The reversal of 20963904 is 40936902.

It is not an unprimeable number, because it can be changed into a prime (20963909) 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, 92239 + ... + 92465.

It is an arithmetic number, because the mean of its divisors is an integer number (550164).

Almost surely, 220963904 is an apocalyptic number.

20963904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20963904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30809184).

20963904 is an abundant number, since it is smaller than the sum of its proper divisors (40654464).

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

20963904 is a wasteful number, since it uses less digits than its factorization.

20963904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 20963904 is about 4578.6356046316. The cubic root of 20963904 is about 275.7342537655.

The spelling of 20963904 in words is "twenty million, nine hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 148 156 192 208 222 227 296 312 416 444 454 481 592 624 681 832 888 908 962 1184 1248 1362 1443 1776 1816 1924 2368 2496 2724 2886 2951 3552 3632 3848 5448 5772 5902 7104 7264 7696 8399 8853 10896 11544 11804 14528 15392 16798 17706 21792 23088 23608 25197 30784 33596 35412 43584 46176 47216 50394 67192 70824 92352 94432 100788 109187 134384 141648 188864 201576 218374 268768 283296 327561 403152 436748 537536 566592 655122 806304 873496 1310244 1612608 1746992 2620488 3493984 5240976 6987968 10481952 20963904