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21683790 = 23251971223
BaseRepresentation
bin101001010110…
…1111001001110
31111210122120100
41102231321032
521022340130
62052431530
7352211022
oct122557116
944718510
1021683790
1111270397
1273185a6
13465295b
142c46382
151d84c60
hex14ade4e

21683790 has 48 divisors (see below), whose sum is σ = 56710368. Its totient is φ = 5748288.

The previous prime is 21683773. The next prime is 21683797. The reversal of 21683790 is 9738612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21683797) 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, 17119 + ... + 18341.

It is an arithmetic number, because the mean of its divisors is an integer number (1181466).

Almost surely, 221683790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21683790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28355184).

21683790 is an abundant number, since it is smaller than the sum of its proper divisors (35026578).

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

21683790 is a wasteful number, since it uses less digits than its factorization.

21683790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 21683790 is about 4656.5856590425. The cubic root of 21683790 is about 278.8549753092.

The spelling of 21683790 in words is "twenty-one million, six hundred eighty-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 197 394 591 985 1182 1223 1773 1970 2446 2955 3546 3669 5910 6115 7338 8865 11007 12230 17730 18345 22014 36690 55035 110070 240931 481862 722793 1204655 1445586 2168379 2409310 3613965 4336758 7227930 10841895 21683790