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20265384 = 2334373269
BaseRepresentation
bin100110101001…
…1100110101000
31102010120212210
41031103212220
520141443014
62002205120
7334152516
oct115234650
942116783
1020265384
1110491757
1269537a0
134277169
1429974b6
151ba4859
hex13539a8

20265384 has 64 divisors (see below), whose sum is σ = 52747200. Its totient is φ = 6483456.

The previous prime is 20265299. The next prime is 20265391. The reversal of 20265384 is 48356202.

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, 75202 + ... + 75470.

It is an arithmetic number, because the mean of its divisors is an integer number (824175).

Almost surely, 220265384 is an apocalyptic number.

20265384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20265384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26373600).

20265384 is an abundant number, since it is smaller than the sum of its proper divisors (32481816).

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

20265384 is a wasteful number, since it uses less digits than its factorization.

20265384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 20265384 is about 4501.7090088099. The cubic root of 20265384 is about 272.6370951152.

The spelling of 20265384 in words is "twenty million, two hundred sixty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 43 73 86 129 146 172 219 258 269 292 344 438 516 538 584 807 876 1032 1076 1614 1752 2152 3139 3228 6278 6456 9417 11567 12556 18834 19637 23134 25112 34701 37668 39274 46268 58911 69402 75336 78548 92536 117822 138804 157096 235644 277608 471288 844391 1688782 2533173 3377564 5066346 6755128 10132692 20265384