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13197627 = 331728753
BaseRepresentation
bin110010010110…
…000100111011
3220211111202000
4302112010323
511334311002
61150512043
7220115022
oct62260473
926744660
1013197627
1174a4633
124505623
132971161
141a778b9
15125a61c
hexc9613b

13197627 has 16 divisors (see below), whose sum is σ = 20702880. Its totient is φ = 8280576.

The previous prime is 13197619. The next prime is 13197629. The reversal of 13197627 is 72679131.

It is a happy number.

13197627 is a `hidden beast` number, since 13 + 19 + 7 + 627 = 666.

13197627 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13197627 - 23 = 13197619 is a prime.

It is a super-2 number, since 2×131976272 = 348354716862258, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13197591 and 13197600.

It is not an unprimeable number, because it can be changed into a prime (13197629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13918 + ... + 14835.

It is an arithmetic number, because the mean of its divisors is an integer number (1293930).

Almost surely, 213197627 is an apocalyptic number.

13197627 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13197627 is a deficient number, since it is larger than the sum of its proper divisors (7505253).

13197627 is a wasteful number, since it uses less digits than its factorization.

13197627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28779 (or 28773 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 13197627 is about 3632.8538368616. The cubic root of 13197627 is about 236.3189871598.

It can be divided in two parts, 13197 and 627, that added together give a cube (13824 = 243).

The spelling of 13197627 in words is "thirteen million, one hundred ninety-seven thousand, six hundred twenty-seven".

Divisors: 1 3 9 17 27 51 153 459 28753 86259 258777 488801 776331 1466403 4399209 13197627