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27145116 = 22324153347
BaseRepresentation
bin110011110001…
…1001110011100
31220002010002200
41213203032130
523422120431
62405451500
7446505165
oct147431634
956063080
1027145116
1114360589
129110b90
1358156cb
14386876c
1525b2ee6
hex19e339c

27145116 has 72 divisors (see below), whose sum is σ = 71823024. Its totient is φ = 8636160.

The previous prime is 27145103. The next prime is 27145147. The reversal of 27145116 is 61154172.

It is a happy number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 27145116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78055 + ... + 78401.

It is an arithmetic number, because the mean of its divisors is an integer number (997542).

Almost surely, 227145116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27145116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35911512).

27145116 is an abundant number, since it is smaller than the sum of its proper divisors (44677908).

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

27145116 is a wasteful number, since it uses less digits than its factorization.

27145116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 446 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 27145116 is about 5210.0975038861. The cubic root of 27145116 is about 300.5365066302.

Adding to 27145116 its reverse (61154172), we get a palindrome (88299288).

It can be divided in two parts, 27145 and 116, that added together give a triangular number (27261 = T233).

The spelling of 27145116 in words is "twenty-seven million, one hundred forty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 53 82 106 123 159 164 212 246 318 347 369 477 492 636 694 738 954 1041 1388 1476 1908 2082 2173 3123 4164 4346 6246 6519 8692 12492 13038 14227 18391 19557 26076 28454 36782 39114 42681 55173 56908 73564 78228 85362 110346 128043 165519 170724 220692 256086 331038 512172 662076 754031 1508062 2262093 3016124 4524186 6786279 9048372 13572558 27145116