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27714961 = 313773331
BaseRepresentation
bin110100110111…
…0010110010001
31221011001210001
41221232112101
524043334321
62430010001
7454400431
oct151562621
957131701
1027714961
111470a72a
129346901
135984bb1
1439762c1
152676c91
hex1a6e591

27714961 has 16 divisors (see below), whose sum is σ = 29874688. Its totient is φ = 25660800.

The previous prime is 27714949. The next prime is 27714971. The reversal of 27714961 is 16941772.

It is a cyclic number.

It is not a de Polignac number, because 27714961 - 211 = 27712913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is the 5265-th Hogben number.

It is a self number, because there is not a number n which added to its sum of digits gives 27714961.

It is not an unprimeable number, because it can be changed into a prime (27714971) by changing a digit.

It is a nontrivial repunit in base 5264.

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 15 ways as a sum of consecutive naturals, for example, 83566 + ... + 83896.

It is an arithmetic number, because the mean of its divisors is an integer number (1867168).

It is a Poulet number, since it divides 227714960-1.

Almost surely, 227714961 is an apocalyptic number.

It is an amenable number.

27714961 is a deficient number, since it is larger than the sum of its proper divisors (2159727).

27714961 is a wasteful number, since it uses less digits than its factorization.

27714961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

The product of its digits is 21168, while the sum is 37.

The square root of 27714961 is about 5264.5000712318. The cubic root of 27714961 is about 302.6249685149.

The spelling of 27714961 in words is "twenty-seven million, seven hundred fourteen thousand, nine hundred sixty-one".

Divisors: 1 31 37 73 331 1147 2263 2701 10261 12247 24163 83731 379657 749053 894031 27714961