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27706980 = 22357411609
BaseRepresentation
bin110100110110…
…0011001100100
31221010122211110
41221230121210
524043110410
62425505020
7454335240
oct151543144
957118743
1027706980
1114704734
129342170
135981382
143973420
152674720
hex1a6c664

27706980 has 96 divisors (see below), whose sum is σ = 90881280. Its totient is φ = 6174720.

The previous prime is 27706967. The next prime is 27706999. The reversal of 27706980 is 8960772.

It is a congruent number.

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, 16416 + ... + 18024.

It is an arithmetic number, because the mean of its divisors is an integer number (946680).

Almost surely, 227706980 is an apocalyptic number.

27706980 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 27706980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45440640).

27706980 is an abundant number, since it is smaller than the sum of its proper divisors (63174300).

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

27706980 is a wasteful number, since it uses less digits than its factorization.

27706980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 27706980 is about 5263.7420149548. The cubic root of 27706980 is about 302.5959170368.

The spelling of 27706980 in words is "twenty-seven million, seven hundred six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1609 1722 2460 2870 3218 3444 4305 4827 5740 6436 8045 8610 9654 11263 16090 17220 19308 22526 24135 32180 33789 45052 48270 56315 65969 67578 96540 112630 131938 135156 168945 197907 225260 263876 329845 337890 395814 461783 659690 675780 791628 923566 989535 1319380 1385349 1847132 1979070 2308915 2770698 3958140 4617830 5541396 6926745 9235660 13853490 27706980