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21076032 = 263313541
BaseRepresentation
bin101000001100…
…1100001000000
31110122202212210
41100121201000
520343413112
62031422120
7344100105
oct120314100
943582783
1021076032
111099580a
127084940
13449c133
142b28aac
151cb4b3c
hex1419840

21076032 has 56 divisors (see below), whose sum is σ = 57578752. Its totient is φ = 6796800.

The previous prime is 21076019. The next prime is 21076037. The reversal of 21076032 is 23067012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21076037) 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 7 ways as a sum of consecutive naturals, for example, 4182 + ... + 7722.

It is an arithmetic number, because the mean of its divisors is an integer number (1028192).

Almost surely, 221076032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21076032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28789376).

21076032 is an abundant number, since it is smaller than the sum of its proper divisors (36502720).

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

21076032 is a wasteful number, since it uses less digits than its factorization.

21076032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 21076032 is about 4590.8639709754. The cubic root of 21076032 is about 276.2249793409.

The spelling of 21076032 in words is "twenty-one million, seventy-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 3541 5952 7082 10623 14164 21246 28328 42492 56656 84984 109771 113312 169968 219542 226624 329313 339936 439084 658626 679872 878168 1317252 1756336 2634504 3512672 5269008 7025344 10538016 21076032