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20775264 = 253379571
BaseRepresentation
bin100111101000…
…0000101100000
31110002111022020
41033100011200
520304302024
62021141440
7341405166
oct117200540
943074266
1020775264
11107aa844
126b5a880
1343c5273
142a8b236
151c55979
hex13d0160

20775264 has 48 divisors (see below), whose sum is σ = 54774720. Its totient is φ = 6894720.

The previous prime is 20775259. The next prime is 20775299. The reversal of 20775264 is 46257702.

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

It is a super-2 number, since 2×207752642 = 863223188539392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36099 + ... + 36669.

It is an arithmetic number, because the mean of its divisors is an integer number (1141140).

Almost surely, 220775264 is an apocalyptic number.

20775264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20775264 is an abundant number, since it is smaller than the sum of its proper divisors (33999456).

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

20775264 is a wasteful number, since it uses less digits than its factorization.

20775264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 20775264 is about 4557.9890302632. The cubic root of 20775264 is about 274.9047118899.

The spelling of 20775264 in words is "twenty million, seven hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 379 571 758 1137 1142 1516 1713 2274 2284 3032 3426 4548 4568 6064 6852 9096 9136 12128 13704 18192 18272 27408 36384 54816 216409 432818 649227 865636 1298454 1731272 2596908 3462544 5193816 6925088 10387632 20775264