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21789990 = 2325832917
BaseRepresentation
bin101001100011…
…1110100100110
31112000001020200
41103013310212
521034234430
62055011330
7353132445
oct123076446
945001220
1021789990
1111333162
127369b46
13468c0b1
142c72d5c
151da6460
hex14c7d26

21789990 has 48 divisors (see below), whose sum is σ = 57356208. Its totient is φ = 5738688.

The previous prime is 21789967. The next prime is 21789997. The reversal of 21789990 is 9998712.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21789997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6012 + ... + 8928.

It is an arithmetic number, because the mean of its divisors is an integer number (1194921).

Almost surely, 221789990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21789990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28678104).

21789990 is an abundant number, since it is smaller than the sum of its proper divisors (35566218).

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

21789990 is a wasteful number, since it uses less digits than its factorization.

21789990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 21789990 is about 4667.9749356654. The cubic root of 21789990 is about 279.3094804539.

The spelling of 21789990 in words is "twenty-one million, seven hundred eighty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 2490 2917 3735 5834 7470 8751 14585 17502 26253 29170 43755 52506 87510 131265 242111 262530 484222 726333 1210555 1452666 2178999 2421110 3631665 4357998 7263330 10894995 21789990