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20328384 = 263239443
BaseRepresentation
bin100110110001…
…0111111000000
31102020210022010
41031202333000
520201002014
62003412520
7334534266
oct115427700
942223263
1020328384
111052501a
126984140
134299a3b
1429b2436
151bb8359
hex1362fc0

20328384 has 56 divisors (see below), whose sum is σ = 54132480. Its totient is φ = 6732544.

The previous prime is 20328367. The next prime is 20328419. The reversal of 20328384 is 48382302.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 45667 + ... + 46109.

Almost surely, 220328384 is an apocalyptic number.

20328384 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 20328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27066240).

20328384 is an abundant number, since it is smaller than the sum of its proper divisors (33804096).

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

20328384 is a wasteful number, since it uses less digits than its factorization.

20328384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 20328384 is about 4508.7009215516. The cubic root of 20328384 is about 272.9193229921.

The spelling of 20328384 in words is "twenty million, three hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 239 443 478 717 886 956 1329 1434 1772 1912 2658 2868 3544 3824 5316 5736 7088 7648 10632 11472 14176 15296 21264 22944 28352 42528 45888 85056 105877 211754 317631 423508 635262 847016 1270524 1694032 2541048 3388064 5082096 6776128 10164192 20328384