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27327920 = 2451133023
BaseRepresentation
bin110100000111…
…1110110110000
31220102101212012
41220033312300
523443443140
62413422052
7451166144
oct150176660
956371765
1027327920
1114475964
12919a928
13587a989
1438b5224
1525ec265
hex1a0fdb0

27327920 has 40 divisors (see below), whose sum is σ = 64120896. Its totient is φ = 10830848.

The previous prime is 27327901. The next prime is 27327931. The reversal of 27327920 is 2972372.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 7529 + ... + 10551.

Almost surely, 227327920 is an apocalyptic number.

27327920 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 27327920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32060448).

27327920 is an abundant number, since it is smaller than the sum of its proper divisors (36792976).

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

27327920 is a wasteful number, since it uses less digits than its factorization.

27327920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 27327920 is about 5227.6113091928. The cubic root of 27327920 is about 301.2096345771.

The spelling of 27327920 in words is "twenty-seven million, three hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 3023 4520 6046 9040 12092 15115 24184 30230 48368 60460 120920 241840 341599 683198 1366396 1707995 2732792 3415990 5465584 6831980 13663960 27327920