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21283956 = 2232593997
BaseRepresentation
bin101000100110…
…0010001110100
31111001100002200
41101030101310
520422041311
62040104500
7345624231
oct121142164
944040080
1021283956
1111017a51
127165130
134542975
142b80788
151d06556
hex144c474

21283956 has 36 divisors (see below), whose sum is σ = 53945892. Its totient is φ = 7075584.

The previous prime is 21283931. The next prime is 21283967. The reversal of 21283956 is 65938212.

It can be written as a sum of positive squares in 2 ways, for example, as 15920100 + 5363856 = 3990^2 + 2316^2 .

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

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 21283956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20850 + ... + 21846.

It is an arithmetic number, because the mean of its divisors is an integer number (1498497).

Almost surely, 221283956 is an apocalyptic number.

It is an amenable number.

21283956 is an abundant number, since it is smaller than the sum of its proper divisors (32661936).

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

21283956 is a wasteful number, since it uses less digits than its factorization.

21283956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1595 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 21283956 is about 4613.4538038220. The cubic root of 21283956 is about 277.1303673726.

It can be divided in two parts, 2128 and 3956, that added together give a square (6084 = 782).

The spelling of 21283956 in words is "twenty-one million, two hundred eighty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 593 997 1186 1779 1994 2372 2991 3558 3988 5337 5982 7116 8973 10674 11964 17946 21348 35892 591221 1182442 1773663 2364884 3547326 5320989 7094652 10641978 21283956