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21424896 = 283217547
BaseRepresentation
bin101000110111…
…0101100000000
31111022111102200
41101232230000
520441044041
62043113200
7350052153
oct121565400
944274380
1021424896
1111103929
127212800
134591b6c
142bb9c9a
151d331b6
hex146eb00

21424896 has 108 divisors (see below), whose sum is σ = 65526552. Its totient is φ = 6709248.

The previous prime is 21424877. The next prime is 21424943. The reversal of 21424896 is 69842412.

It is a super-2 number, since 2×214248962 = 918052337221632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21424896.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38895 + ... + 39441.

Almost surely, 221424896 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 21424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32763276).

21424896 is an abundant number, since it is smaller than the sum of its proper divisors (44101656).

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

21424896 is a wasteful number, since it uses less digits than its factorization.

21424896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 569 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 21424896 is about 4628.7034901795. The cubic root of 21424896 is about 277.7407309645.

The spelling of 21424896 in words is "twenty-one million, four hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 547 576 612 768 816 1088 1094 1152 1224 1632 1641 2176 2188 2304 2448 3264 3282 4352 4376 4896 4923 6528 6564 8752 9299 9792 9846 13056 13128 17504 18598 19584 19692 26256 27897 35008 37196 39168 39384 52512 55794 70016 74392 78768 83691 105024 111588 140032 148784 157536 167382 210048 223176 297568 315072 334764 420096 446352 595136 630144 669528 892704 1190272 1260288 1339056 1785408 2380544 2678112 3570816 5356224 7141632 10712448 21424896