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20914896 = 2431719271
BaseRepresentation
bin100111111001…
…0001011010000
31110100120211210
41033302023100
520323234041
62024140120
7342526242
oct117621320
943316753
1020914896
1110895742
127007640
1344439a2
142ac6092
151c82016
hex13f22d0

20914896 has 120 divisors (see below), whose sum is σ = 61228224. Its totient is φ = 6128640.

The previous prime is 20914891. The next prime is 20914903. The reversal of 20914896 is 69841902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20914891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294541 + ... + 294611.

Almost surely, 220914896 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 20914896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30614112).

20914896 is an abundant number, since it is smaller than the sum of its proper divisors (40313328).

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

20914896 is a wasteful number, since it uses less digits than its factorization.

20914896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 20914896 is about 4573.2806605324. The cubic root of 20914896 is about 275.5192218059.

The spelling of 20914896 in words is "twenty million, nine hundred fourteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 71 76 102 114 136 142 152 204 213 228 272 284 304 323 361 408 426 456 568 646 722 816 852 912 969 1083 1136 1207 1292 1349 1444 1704 1938 2166 2414 2584 2698 2888 3408 3621 3876 4047 4332 4828 5168 5396 5776 6137 7242 7752 8094 8664 9656 10792 12274 14484 15504 16188 17328 18411 19312 21584 22933 24548 25631 28968 32376 36822 45866 49096 51262 57936 64752 68799 73644 76893 91732 98192 102524 137598 147288 153786 183464 205048 275196 294576 307572 366928 410096 435727 550392 615144 871454 1100784 1230288 1307181 1742908 2614362 3485816 5228724 6971632 10457448 20914896