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13527397 = 131815749
BaseRepresentation
bin110011100110…
…100101100101
3221110021002201
4303212211211
511430334042
61201534501
7222660322
oct63464545
927407081
1013527397
1176aa374
124644431
132a582a0
141b21b49
1512c31b7
hexce6965

13527397 has 8 divisors (see below), whose sum is σ = 14651000. Its totient is φ = 12415680.

The previous prime is 13527383. The next prime is 13527401. The reversal of 13527397 is 79372531.

13527397 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2775556 + 10751841 = 1666^2 + 3279^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13527397 - 223 = 5138789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13527307) 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, 522 + ... + 5227.

It is an arithmetic number, because the mean of its divisors is an integer number (1831375).

Almost surely, 213527397 is an apocalyptic number.

It is an amenable number.

13527397 is a deficient number, since it is larger than the sum of its proper divisors (1123603).

13527397 is a wasteful number, since it uses less digits than its factorization.

13527397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943.

The product of its digits is 39690, while the sum is 37.

The square root of 13527397 is about 3677.9609840236. The cubic root of 13527397 is about 238.2711231289.

It can be divided in two parts, 13527 and 397, that added together give a square (13924 = 1182).

The spelling of 13527397 in words is "thirteen million, five hundred twenty-seven thousand, three hundred ninety-seven".

Divisors: 1 13 181 2353 5749 74737 1040569 13527397