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21720894 = 2313231691
BaseRepresentation
bin101001011011…
…0111100111110
31111212112110120
41102312330332
521030032034
62053315410
7352424136
oct122667476
944775416
1021720894
1111296258
127335b66
134666800
142c55ac6
151d90c49
hex14b6f3e

21720894 has 48 divisors (see below), whose sum is σ = 48628224. Its totient is φ = 6458400.

The previous prime is 21720877. The next prime is 21720899. The reversal of 21720894 is 49802712.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21720899) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31089 + ... + 31779.

It is an arithmetic number, because the mean of its divisors is an integer number (1013088).

Almost surely, 221720894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21720894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24314112).

21720894 is an abundant number, since it is smaller than the sum of its proper divisors (26907330).

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

21720894 is a wasteful number, since it uses less digits than its factorization.

21720894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 21720894 is about 4660.5679911358. The cubic root of 21720894 is about 279.0139379735.

The spelling of 21720894 in words is "twenty-one million, seven hundred twenty thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 169 186 338 403 507 691 806 1014 1209 1382 2073 2418 4146 5239 8983 10478 15717 17966 21421 26949 31434 42842 53898 64263 116779 128526 233558 278473 350337 556946 700674 835419 1670838 3620149 7240298 10860447 21720894