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21073824 = 253324391
BaseRepresentation
bin101000001100…
…0111110100000
31110122122212000
41100120332200
520343330244
62031404000
7344060502
oct120307640
943578760
1021073824
1110994092
127083600
13449b125
142b27d72
151cb4169
hex1418fa0

21073824 has 48 divisors (see below), whose sum is σ = 61467840. Its totient is φ = 7024320.

The previous prime is 21073799. The next prime is 21073837. The reversal of 21073824 is 42837012.

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 (27).

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, 11332 + ... + 13059.

It is an arithmetic number, because the mean of its divisors is an integer number (1280580).

Almost surely, 221073824 is an apocalyptic number.

21073824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21073824 is an abundant number, since it is smaller than the sum of its proper divisors (40394016).

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

21073824 is a wasteful number, since it uses less digits than its factorization.

21073824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24410 (or 24396 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 21073824 is about 4590.6234870658. The cubic root of 21073824 is about 276.2153329006.

The spelling of 21073824 in words is "twenty-one million, seventy-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 24391 48782 73173 97564 146346 195128 219519 292692 390256 439038 585384 658557 780512 878076 1170768 1317114 1756152 2341536 2634228 3512304 5268456 7024608 10536912 21073824