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21932680 = 2357117121
BaseRepresentation
bin101001110101…
…0101010001000
31112021021222111
41103222222020
521103321210
62102032104
7354265450
oct123525210
945237874
1021932680
1111420390
127418634
13470c023
142cacd60
151dd388a
hex14eaa88

21932680 has 64 divisors (see below), whose sum is σ = 61534080. Its totient is φ = 6835200.

The previous prime is 21932657. The next prime is 21932689. The reversal of 21932680 is 8623912.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21932689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481 + ... + 6640.

It is an arithmetic number, because the mean of its divisors is an integer number (961470).

Almost surely, 221932680 is an apocalyptic number.

21932680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21932680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30767040).

21932680 is an abundant number, since it is smaller than the sum of its proper divisors (39601400).

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

21932680 is a wasteful number, since it uses less digits than its factorization.

21932680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 21932680 is about 4683.2339253981. The cubic root of 21932680 is about 279.9178330330.

The spelling of 21932680 in words is "twenty-one million, nine hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 7121 14242 28484 35605 49847 56968 71210 78331 99694 142420 156662 199388 249235 284840 313324 391655 398776 498470 548317 626648 783310 996940 1096634 1566620 1993880 2193268 2741585 3133240 4386536 5483170 10966340 21932680