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21269968 = 2419313761
BaseRepresentation
bin101000100100…
…0110111010000
31111000121220121
41101020313100
520421114333
62035520024
7345535366
oct121106720
944017817
1021269968
1111008495
127159014
1345394a5
142b79636
151d0232d
hex1448dd0

21269968 has 80 divisors (see below), whose sum is σ = 46743040. Its totient is φ = 9331200.

The previous prime is 21269959. The next prime is 21269971. The reversal of 21269968 is 86996212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348658 + ... + 348718.

It is an arithmetic number, because the mean of its divisors is an integer number (584288).

Almost surely, 221269968 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 21269968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23371520).

21269968 is an abundant number, since it is smaller than the sum of its proper divisors (25473072).

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

21269968 is a wasteful number, since it uses less digits than its factorization.

21269968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 21269968 is about 4611.9375537837. The cubic root of 21269968 is about 277.0696432429.

The spelling of 21269968 in words is "twenty-one million, two hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 31 37 38 61 62 74 76 122 124 148 152 244 248 296 304 488 496 589 592 703 976 1147 1159 1178 1406 1891 2257 2294 2318 2356 2812 3782 4514 4588 4636 4712 5624 7564 9028 9176 9272 9424 11248 15128 18056 18352 18544 21793 30256 35929 36112 42883 43586 69967 71858 85766 87172 139934 143716 171532 174344 279868 287432 343064 348688 559736 574864 686128 1119472 1329373 2658746 5317492 10634984 21269968