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27307764 = 22321126269
BaseRepresentation
bin110100000101…
…0111011110100
31220101101012200
41220022323310
523442322024
62413144500
7451053321
oct150127364
956341180
1027307764
1114461800
12918b130
135871753
1438abb48
1525e62c9
hex1a0aef4

27307764 has 54 divisors (see below), whose sum is σ = 75885810. Its totient is φ = 8273760.

The previous prime is 27307759. The next prime is 27307783. The reversal of 27307764 is 46770372.

It can be written as a sum of positive squares in only one way, i.e., 21344400 + 5963364 = 4620^2 + 2442^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 1222 + ... + 7490.

Almost surely, 227307764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27307764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37942905).

27307764 is an abundant number, since it is smaller than the sum of its proper divisors (48578046).

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

27307764 is a wasteful number, since it uses less digits than its factorization.

27307764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6301 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 27307764 is about 5225.6831132398. The cubic root of 27307764 is about 301.1355628996.

The spelling of 27307764 in words is "twenty-seven million, three hundred seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 6269 12538 18807 25076 37614 56421 68959 75228 112842 137918 206877 225684 275836 413754 620631 758549 827508 1241262 1517098 2275647 2482524 3034196 4551294 6826941 9102588 13653882 27307764