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20138304 = 263531979
BaseRepresentation
bin100110011010…
…0100101000000
31101220010120010
41030310211000
520123411204
61555344520
7333113154
oct114644500
941803503
1020138304
111040522a
1268b2140
134231374
142963064
151b7bd89
hex1334940

20138304 has 56 divisors (see below), whose sum is σ = 54315360. Its totient is φ = 6582784.

The previous prime is 20138303. The next prime is 20138311. The reversal of 20138304 is 40383102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20138303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9187 + ... + 11165.

Almost surely, 220138304 is an apocalyptic number.

20138304 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 20138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27157680).

20138304 is an abundant number, since it is smaller than the sum of its proper divisors (34177056).

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

20138304 is a wasteful number, since it uses less digits than its factorization.

20138304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 20138304 is about 4487.5721721216. The cubic root of 20138304 is about 272.0660162714.

The spelling of 20138304 in words is "twenty million, one hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 1979 2544 3392 3958 5088 5937 7916 10176 11874 15832 23748 31664 47496 63328 94992 104887 126656 189984 209774 314661 379968 419548 629322 839096 1258644 1678192 2517288 3356384 5034576 6712768 10069152 20138304