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21198660 = 22357172969
BaseRepresentation
bin101000011011…
…1011101000100
31110220000002120
41100313131010
520411324120
62034205540
7345120450
oct120673504
943800076
1021198660
1110a6995a
1271238b0
134512bb2
142b5b660
151cdb140
hex1437744

21198660 has 96 divisors (see below), whose sum is σ = 71850240. Its totient is φ = 4558848.

The previous prime is 21198631. The next prime is 21198673. The reversal of 21198660 is 6689112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5656 + ... + 8624.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 221198660 is an apocalyptic number.

21198660 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 21198660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35925120).

21198660 is an abundant number, since it is smaller than the sum of its proper divisors (50651580).

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

21198660 is a wasteful number, since it uses less digits than its factorization.

21198660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 21198660 is about 4604.2002562877. The cubic root of 21198660 is about 276.7596693832.

The spelling of 21198660 in words is "twenty-one million, one hundred ninety-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 2969 3570 5938 7140 8907 11876 14845 17814 20783 29690 35628 41566 44535 50473 59380 62349 83132 89070 100946 103915 124698 151419 178140 201892 207830 249396 252365 302838 311745 353311 415660 504730 605676 623490 706622 757095 1009460 1059933 1246980 1413244 1514190 1766555 2119866 3028380 3533110 4239732 5299665 7066220 10599330 21198660