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21705980 = 225192392
BaseRepresentation
bin101001011001…
…1010011111100
31111211210000012
41102303103330
521024042410
62053122352
7352332512
oct122632374
944753005
1021705980
111128602a
1273293b8
13465ca9a
142c504b2
151d8b605
hex14b34fc

21705980 has 36 divisors (see below), whose sum is σ = 48183240. Its totient is φ = 8191008.

The previous prime is 21705977. The next prime is 21706019. The reversal of 21705980 is 8950712.

It is a super-2 number, since 2×217059802 = 942299135520800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90701 + ... + 90939.

Almost surely, 221705980 is an apocalyptic number.

21705980 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 21705980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24091620).

21705980 is an abundant number, since it is smaller than the sum of its proper divisors (26477260).

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

21705980 is a wasteful number, since it uses less digits than its factorization.

21705980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 21705980 is about 4658.9676968187. The cubic root of 21705980 is about 278.9500645034.

The spelling of 21705980 in words is "twenty-one million, seven hundred five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 239 380 478 956 1195 2390 4541 4780 9082 18164 22705 45410 57121 90820 114242 228484 285605 571210 1085299 1142420 2170598 4341196 5426495 10852990 21705980