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20282688 = 2632231531
BaseRepresentation
bin100110101011…
…1110101000000
31102011110121200
41031113311000
520143021223
62002421200
7334254126
oct115276500
942143550
1020282688
11104a3758
126961800
134281cba
14299d916
151ba9a43
hex1357d40

20282688 has 84 divisors (see below), whose sum is σ = 60703968. Its totient is φ = 6462720.

The previous prime is 20282663. The next prime is 20282701. The reversal of 20282688 is 88628202.

It is a super-2 number, since 2×202826882 = 822774865010688, which contains 22 as substring.

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

It is a congruent number.

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, 12483 + ... + 14013.

Almost surely, 220282688 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 20282688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30351984).

20282688 is an abundant number, since it is smaller than the sum of its proper divisors (40421280).

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

20282688 is a wasteful number, since it uses less digits than its factorization.

20282688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 20282688 is about 4503.6305354680. The cubic root of 20282688 is about 272.7146719027.

The spelling of 20282688 in words is "twenty million, two hundred eighty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1531 1656 2208 3062 3312 4416 4593 6124 6624 9186 12248 13248 13779 18372 24496 27558 35213 36744 48992 55116 70426 73488 97984 105639 110232 140852 146976 211278 220464 281704 293952 316917 422556 440928 563408 633834 845112 881856 1126816 1267668 1690224 2253632 2535336 3380448 5070672 6760896 10141344 20282688