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21715980 = 223511132531
BaseRepresentation
bin101001011010…
…1110000001100
31111212021201120
41102311300030
521024402410
62053240540
7352403616
oct122656014
944767646
1021715980
11112925a0
127333150
1346644c0
142c53db6
151d8e570
hex14b5c0c

21715980 has 96 divisors (see below), whose sum is σ = 71463168. Its totient is φ = 4857600.

The previous prime is 21715951. The next prime is 21715997. The reversal of 21715980 is 8951712.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7315 + ... + 9845.

It is an arithmetic number, because the mean of its divisors is an integer number (744408).

Almost surely, 221715980 is an apocalyptic number.

21715980 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 21715980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35731584).

21715980 is an abundant number, since it is smaller than the sum of its proper divisors (49747188).

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

21715980 is a wasteful number, since it uses less digits than its factorization.

21715980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 21715980 is about 4660.0407723538. The cubic root of 21715980 is about 278.9928955938.

The spelling of 21715980 in words is "twenty-one million, seven hundred fifteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2531 2860 4290 5062 7593 8580 10124 12655 15186 25310 27841 30372 32903 37965 50620 55682 65806 75930 83523 98709 111364 131612 139205 151860 164515 167046 197418 278410 329030 334092 361933 394836 417615 493545 556820 658060 723866 835230 987090 1085799 1447732 1670460 1809665 1974180 2171598 3619330 4343196 5428995 7238660 10857990 21715980