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21153920 = 27533053
BaseRepresentation
bin101000010110…
…0100010000000
31110210201201112
41100230202000
520403411140
62033222452
7344543144
oct120544200
943721645
1021153920
1110a39287
127101a28
1344c8718
142b49224
151cccc65
hex142c880

21153920 has 32 divisors (see below), whose sum is σ = 50572620. Its totient is φ = 8461312.

The previous prime is 21153917. The next prime is 21153929. The reversal of 21153920 is 2935112.

It can be written as a sum of positive squares in 2 ways, for example, as 20866624 + 287296 = 4568^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (21153929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15887 + ... + 17166.

Almost surely, 221153920 is an apocalyptic number.

21153920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21153920 is an abundant number, since it is smaller than the sum of its proper divisors (29418700).

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

21153920 is an equidigital number, since it uses as much as digits as its factorization.

21153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33072 (or 33060 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 21153920 is about 4599.3390829553. The cubic root of 21153920 is about 276.5648308293.

The spelling of 21153920 in words is "twenty-one million, one hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 33053 66106 132212 165265 264424 330530 528848 661060 1057696 1322120 2115392 2644240 4230784 5288480 10576960 21153920