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21840768 = 273218959
BaseRepresentation
bin101001101010…
…0001110000000
31112002121220100
41103110032000
521042401033
62100042400
7353433465
oct123241600
945077810
1021840768
1111368324
127393400
1346a9241
142c8766c
151db6513
hex14d4380

21840768 has 48 divisors (see below), whose sum is σ = 62852400. Its totient is φ = 7279872.

The previous prime is 21840757. The next prime is 21840773. The reversal of 21840768 is 86704812.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8328 + ... + 10631.

It is an arithmetic number, because the mean of its divisors is an integer number (1309425).

Almost surely, 221840768 is an apocalyptic number.

It is an amenable number.

21840768 is an abundant number, since it is smaller than the sum of its proper divisors (41011632).

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

21840768 is a wasteful number, since it uses less digits than its factorization.

21840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18979 (or 18964 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 21840768 is about 4673.4107459114. The cubic root of 21840768 is about 279.5262737944.

The spelling of 21840768 in words is "twenty-one million, eight hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 18959 37918 56877 75836 113754 151672 170631 227508 303344 341262 455016 606688 682524 910032 1213376 1365048 1820064 2426752 2730096 3640128 5460192 7280256 10920384 21840768