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21100980 = 22352967181
BaseRepresentation
bin101000001111…
…1100110110100
31110201001002210
41100133212310
520400212410
62032133420
7344232615
oct120374664
943631083
1021100980
1110a0252a
127097270
1344aa5b4
142b33c0c
151cbc220
hex141f9b4

21100980 has 96 divisors (see below), whose sum is σ = 62375040. Its totient is φ = 5322240.

The previous prime is 21100969. The next prime is 21100993. The reversal of 21100980 is 8900112.

It is a congruent number.

It is an unprimeable number.

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, 116490 + ... + 116670.

It is an arithmetic number, because the mean of its divisors is an integer number (649740).

Almost surely, 221100980 is an apocalyptic number.

21100980 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 21100980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31187520).

21100980 is an abundant number, since it is smaller than the sum of its proper divisors (41274060).

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

21100980 is a wasteful number, since it uses less digits than its factorization.

21100980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 21100980 is about 4593.5803029881. The cubic root of 21100980 is about 276.3339268486. Note that the first 3 decimals are identical.

The spelling of 21100980 in words is "twenty-one million, one hundred thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 67 87 116 134 145 174 181 201 268 290 335 348 362 402 435 543 580 670 724 804 870 905 1005 1086 1340 1740 1810 1943 2010 2172 2715 3620 3886 4020 5249 5430 5829 7772 9715 10498 10860 11658 12127 15747 19430 20996 23316 24254 26245 29145 31494 36381 38860 48508 52490 58290 60635 62988 72762 78735 104980 116580 121270 145524 157470 181905 242540 314940 351683 363810 703366 727620 1055049 1406732 1758415 2110098 3516830 4220196 5275245 7033660 10550490 21100980