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21295968 = 2531713049
BaseRepresentation
bin101000100111…
…1001101100000
31111001221120120
41101033031200
520422432333
62040240240
7346004241
oct121171540
944057516
1021295968
1111025a81
127170080
134548285
142b84cc8
151d09db3
hex144f360

21295968 has 48 divisors (see below), whose sum is σ = 59194800. Its totient is φ = 6680576.

The previous prime is 21295961. The next prime is 21295997. The reversal of 21295968 is 86959212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21295961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4893 + ... + 8156.

It is an arithmetic number, because the mean of its divisors is an integer number (1233225).

Almost surely, 221295968 is an apocalyptic number.

It is an amenable number.

21295968 is an abundant number, since it is smaller than the sum of its proper divisors (37898832).

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

21295968 is a wasteful number, since it uses less digits than its factorization.

21295968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13079 (or 13071 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 21295968 is about 4614.7554648107. The cubic root of 21295968 is about 277.1824921425.

The spelling of 21295968 in words is "twenty-one million, two hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 13049 26098 39147 52196 78294 104392 156588 208784 221833 313176 417568 443666 626352 665499 887332 1252704 1330998 1774664 2661996 3549328 5323992 7098656 10647984 21295968