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21642930 = 2335711129
BaseRepresentation
bin101001010001…
…1111010110010
31111201120112000
41102203322302
521020033210
62051514430
7351650631
oct122437262
944646460
1021642930
1111242721
1272b8a16
13463a18a
142c35518
151d77ac0
hex14a3eb2

21642930 has 64 divisors (see below), whose sum is σ = 58579200. Its totient is φ = 5685120.

The previous prime is 21642923. The next prime is 21642937. The reversal of 21642930 is 3924612.

It is an interprime number because it is at equal distance from previous prime (21642923) and next prime (21642937).

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

It is a junction number, because it is equal to n+sod(n) for n = 21642894 and 21642903.

It is not an unprimeable number, because it can be changed into a prime (21642937) 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 31 ways as a sum of consecutive naturals, for example, 18606 + ... + 19734.

It is an arithmetic number, because the mean of its divisors is an integer number (915300).

Almost surely, 221642930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21642930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29289600).

21642930 is an abundant number, since it is smaller than the sum of its proper divisors (36936270).

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

21642930 is a wasteful number, since it uses less digits than its factorization.

21642930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 21642930 is about 4652.1962555335. The cubic root of 21642930 is about 278.6797110743.

The spelling of 21642930 in words is "twenty-one million, six hundred forty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 135 142 213 270 355 426 639 710 1065 1129 1278 1917 2130 2258 3195 3387 3834 5645 6390 6774 9585 10161 11290 16935 19170 20322 30483 33870 50805 60966 80159 101610 152415 160318 240477 304830 400795 480954 721431 801590 1202385 1442862 2164293 2404770 3607155 4328586 7214310 10821465 21642930