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668136 = 23374197
BaseRepresentation
bin10100011000111101000
31020221111210
42203013220
5132340021
622153120
75451630
oct2430750
91227453
10668136
11416a87
122827a0
131a5161
141356c0
15d2e76
hexa31e8

668136 has 64 divisors (see below), whose sum is σ = 1975680. Its totient is φ = 184320.

The previous prime is 668111. The next prime is 668141. The reversal of 668136 is 631866.

668136 = T113 + T114 + ... + T175.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

668136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6840 + ... + 6936.

It is an arithmetic number, because the mean of its divisors is an integer number (30870).

2668136 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 668136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987840).

668136 is an abundant number, since it is smaller than the sum of its proper divisors (1307544).

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

668136 is a wasteful number, since it uses less digits than its factorization.

668136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 668136 is about 817.3958649271. The cubic root of 668136 is about 87.4221784259.

The spelling of 668136 in words is "six hundred sixty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 97 123 164 168 194 246 287 291 328 388 492 574 582 679 776 861 984 1148 1164 1358 1722 2037 2296 2328 2716 3444 3977 4074 5432 6888 7954 8148 11931 15908 16296 23862 27839 31816 47724 55678 83517 95448 111356 167034 222712 334068 668136