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21723930 = 2335611319
BaseRepresentation
bin101001011011…
…1101100011010
31111212200122000
41102313230122
521030131210
62053341430
7352436034
oct122675432
944780560
1021723930
1111298568
127337876
134667cc7
142c56c54
151d91ac0
hex14b7b1a

21723930 has 64 divisors (see below), whose sum is σ = 58924800. Its totient is φ = 5693760.

The previous prime is 21723913. The next prime is 21723931. The reversal of 21723930 is 3932712.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21723894 and 21723903.

It is not an unprimeable number, because it can be changed into a prime (21723931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15811 + ... + 17129.

It is an arithmetic number, because the mean of its divisors is an integer number (920700).

Almost surely, 221723930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21723930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29462400).

21723930 is an abundant number, since it is smaller than the sum of its proper divisors (37200870).

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

21723930 is a wasteful number, since it uses less digits than its factorization.

21723930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 21723930 is about 4660.8936911283. The cubic root of 21723930 is about 279.0269369298.

The spelling of 21723930 in words is "twenty-one million, seven hundred twenty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1098 1319 1647 1830 2638 2745 3294 3957 5490 6595 7914 8235 11871 13190 16470 19785 23742 35613 39570 59355 71226 80459 118710 160918 178065 241377 356130 402295 482754 724131 804590 1206885 1448262 2172393 2413770 3620655 4344786 7241310 10861965 21723930