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187668 = 223213401
BaseRepresentation
bin101101110100010100
3100112102200
4231310110
522001133
64004500
71411065
oct556424
9315380
10187668
11118aa8
1290730
1367560
144c56c
153a913
hex2dd14

187668 has 36 divisors (see below), whose sum is σ = 512148. Its totient is φ = 57600.

The previous prime is 187661. The next prime is 187669. The reversal of 187668 is 866781.

187668 is digitally balanced in base 2, 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 2 ways, for example, as 121104 + 66564 = 348^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268 + ... + 668.

2187668 is an apocalyptic number.

187668 is a gapful number since it is divisible by the number (18) 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 187668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256074).

187668 is an abundant number, since it is smaller than the sum of its proper divisors (324480).

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

187668 is a wasteful number, since it uses less digits than its factorization.

187668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 419 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 187668 is about 433.2066481484. The cubic root of 187668 is about 57.2528014240.

The spelling of 187668 in words is "one hundred eighty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 401 468 802 1203 1604 2406 3609 4812 5213 7218 10426 14436 15639 20852 31278 46917 62556 93834 187668