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21115968 = 263711549
BaseRepresentation
bin101000010001…
…1010001000000
31110201210122220
41100203101000
520401202333
62032331040
7344324406
oct120432100
943653586
1021115968
1110a12815
1270a3a80
1344b4373
142b39476
151cc18b3
hex1423440

21115968 has 56 divisors (see below), whose sum is σ = 56692800. Its totient is φ = 6935040.

The previous prime is 21115961. The next prime is 21115993. The reversal of 21115968 is 86951112.

It is not an unprimeable number, because it can be changed into a prime (21115961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12858 + ... + 14406.

Almost surely, 221115968 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 21115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28346400).

21115968 is an abundant number, since it is smaller than the sum of its proper divisors (35576832).

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

21115968 is a wasteful number, since it uses less digits than its factorization.

21115968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1625 counting only the distinct ones).

The product of its digits is 4320, while the sum is 33.

The square root of 21115968 is about 4595.2114205986. The cubic root of 21115968 is about 276.3993379127.

The spelling of 21115968 in words is "twenty-one million, one hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1549 1704 2272 3098 3408 4544 4647 6196 6816 9294 12392 13632 18588 24784 37176 49568 74352 99136 109979 148704 219958 297408 329937 439916 659874 879832 1319748 1759664 2639496 3519328 5278992 7038656 10557984 21115968