Search a number
-
+
27695668 = 22711136917
BaseRepresentation
bin110100110100…
…1101000110100
31221010002022111
41221221220310
524042230133
62425340404
7454260250
oct151515064
957102274
1027695668
11146a7190
129337704
135979190
14396d260
1526711cd
hex1a69a34

27695668 has 48 divisors (see below), whose sum is σ = 65084544. Its totient is φ = 9959040.

The previous prime is 27695653. The next prime is 27695713. The reversal of 27695668 is 86659672.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546 + ... + 7462.

It is an arithmetic number, because the mean of its divisors is an integer number (1355928).

Almost surely, 227695668 is an apocalyptic number.

27695668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27695668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32542272).

27695668 is an abundant number, since it is smaller than the sum of its proper divisors (37388876).

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

27695668 is a wasteful number, since it uses less digits than its factorization.

27695668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6952 (or 6950 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The square root of 27695668 is about 5262.6673845114. The cubic root of 27695668 is about 302.5547308934.

The spelling of 27695668 in words is "twenty-seven million, six hundred ninety-five thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 6917 13834 27668 48419 76087 89921 96838 152174 179842 193676 304348 359684 532609 629447 989131 1065218 1258894 1978262 2130436 2517788 3956524 6923917 13847834 27695668