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27032080 = 245337901
BaseRepresentation
bin110011100011…
…1101000010000
31212212101001011
41213013220100
523410011310
62403220304
7445524505
oct147075020
955771034
1027032080
1114293669
129077694
1357a611a
1438394ac
15258e78a
hex19c7a10

27032080 has 20 divisors (see below), whose sum is σ = 62849772. Its totient is φ = 10812800.

The previous prime is 27032053. The next prime is 27032081. The reversal of 27032080 is 8023072.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4260096 + 22771984 = 2064^2 + 4772^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (27032081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168871 + ... + 169030.

Almost surely, 227032080 is an apocalyptic number.

27032080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27032080 is an abundant number, since it is smaller than the sum of its proper divisors (35817692).

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

27032080 is a wasteful number, since it uses less digits than its factorization.

27032080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337914 (or 337908 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 27032080 is about 5199.2384057668. The cubic root of 27032080 is about 300.1187677893.

It can be divided in two parts, 270320 and 80, that added together give a square (270400 = 5202).

The spelling of 27032080 in words is "twenty-seven million, thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 337901 675802 1351604 1689505 2703208 3379010 5406416 6758020 13516040 27032080