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27366984 = 2334157269
BaseRepresentation
bin110100001100…
…1011001001000
31220111101110000
41220121121020
524001220414
62414323000
7451421061
oct150313110
956441400
1027366984
11144a2247
1291b9460
1358926a8
1438c5568
152608b09
hex1a19648

27366984 has 80 divisors (see below), whose sum is σ = 77427900. Its totient is φ = 9030528.

The previous prime is 27366961. The next prime is 27367001. The reversal of 27366984 is 48966372.

It can be written as a sum of positive squares in 2 ways, for example, as 23794884 + 3572100 = 4878^2 + 1890^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101602 + ... + 101870.

Almost surely, 227366984 is an apocalyptic number.

27366984 is a gapful number since it is divisible by the number (24) 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 27366984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38713950).

27366984 is an abundant number, since it is smaller than the sum of its proper divisors (50060916).

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

27366984 is a wasteful number, since it uses less digits than its factorization.

27366984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 27366984 is about 5231.3462894364. The cubic root of 27366984 is about 301.3530880010.

The spelling of 27366984 in words is "twenty-seven million, three hundred sixty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 157 162 216 269 314 324 471 538 628 648 807 942 1076 1256 1413 1614 1884 2152 2421 2826 3228 3768 4239 4842 5652 6456 7263 8478 9684 11304 12717 14526 16956 19368 21789 25434 29052 33912 42233 43578 50868 58104 84466 87156 101736 126699 168932 174312 253398 337864 380097 506796 760194 1013592 1140291 1520388 2280582 3040776 3420873 4561164 6841746 9122328 13683492 27366984