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27101672 = 23131715329
BaseRepresentation
bin110011101100…
…0100111101000
31212222220111122
41213120213220
523414223142
62404514412
7446234423
oct147304750
955886448
1027101672
1114330984
1290aba08
1357cb9c0
1438569ba
1525a51d2
hex19d89e8

27101672 has 32 divisors (see below), whose sum is σ = 57947400. Its totient is φ = 11771904.

The previous prime is 27101671. The next prime is 27101681. The reversal of 27101672 is 27610172.

It can be written as a sum of positive squares in 4 ways, for example, as 16434916 + 10666756 = 4054^2 + 3266^2 .

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

It is not an unprimeable number, because it can be changed into a prime (27101671) by changing a digit.

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, 5897 + ... + 9432.

Almost surely, 227101672 is an apocalyptic number.

It is an amenable number.

27101672 is an abundant number, since it is smaller than the sum of its proper divisors (30845728).

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

27101672 is a wasteful number, since it uses less digits than its factorization.

27101672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15365 (or 15361 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 27101672 is about 5205.9266226100. The cubic root of 27101672 is about 300.3760912838.

The spelling of 27101672 in words is "twenty-seven million, one hundred one thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 15329 30658 61316 122632 199277 260593 398554 521186 797108 1042372 1594216 2084744 3387709 6775418 13550836 27101672