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21283680 = 25351129139
BaseRepresentation
bin101000100110…
…0001101100000
31111001022201110
41101030031200
520422034210
62040103320
7345623355
oct121141540
944038643
1021283680
1111017820
127164b40
1345427c2
142b8062c
151d06420
hex144c360

21283680 has 192 divisors, whose sum is σ = 76204800. Its totient is φ = 4945920.

The previous prime is 21283679. The next prime is 21283699. The reversal of 21283680 is 8638212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153051 + ... + 153189.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 221283680 is an apocalyptic number.

21283680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

21283680 is an abundant number, since it is smaller than the sum of its proper divisors (54921120).

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

21283680 is a wasteful number, since it uses less digits than its factorization.

21283680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 21283680 is about 4613.4238912114. The cubic root of 21283680 is about 277.1291694701.

The spelling of 21283680 in words is "twenty-one million, two hundred eighty-three thousand, six hundred eighty".