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27007136 = 251364921
BaseRepresentation
bin110011100000…
…1100010100000
31212211002211022
41213001202200
523403212021
62402505012
7445362002
oct147014240
955732738
1027007136
1114276952
129065168
135797970
143830372
1525871ab
hex19c18a0

27007136 has 24 divisors (see below), whose sum is σ = 57261204. Its totient is φ = 12464640.

The previous prime is 27007133. The next prime is 27007147. The reversal of 27007136 is 63170072.

It can be written as a sum of positive squares in 2 ways, for example, as 20757136 + 6250000 = 4556^2 + 2500^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27007133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32045 + ... + 32876.

Almost surely, 227007136 is an apocalyptic number.

27007136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

27007136 is an abundant number, since it is smaller than the sum of its proper divisors (30254068).

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

27007136 is a wasteful number, since it uses less digits than its factorization.

27007136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64944 (or 64936 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 27007136 is about 5196.8390392622. The cubic root of 27007136 is about 300.0264273016.

The spelling of 27007136 in words is "twenty-seven million, seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 64921 129842 259684 519368 843973 1038736 1687946 2077472 3375892 6751784 13503568 27007136