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21191904 = 253273583
BaseRepresentation
bin101000011010…
…1110011100000
31110212122211100
41100311303200
520411120104
62034114400
7345061656
oct120656340
943778740
1021191904
1110a64878
12711ba00
13450cab6
142b58dd6
151cd9139
hex1435ce0

21191904 has 36 divisors (see below), whose sum is σ = 60265296. Its totient is φ = 7063872.

The previous prime is 21191873. The next prime is 21191917. The reversal of 21191904 is 40919112.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36504 + ... + 37079.

It is an arithmetic number, because the mean of its divisors is an integer number (1674036).

Almost surely, 221191904 is an apocalyptic number.

21191904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21191904 is an abundant number, since it is smaller than the sum of its proper divisors (39073392).

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

21191904 is a wasteful number, since it uses less digits than its factorization.

21191904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73599 (or 73588 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 21191904 is about 4603.4665199174. The cubic root of 21191904 is about 276.7302652134.

The spelling of 21191904 in words is "twenty-one million, one hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 73583 147166 220749 294332 441498 588664 662247 882996 1177328 1324494 1765992 2354656 2648988 3531984 5297976 7063968 10595952 21191904