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168107076 = 22342112459
BaseRepresentation
bin10100000010100…
…01110001000100
3102201022201120000
422001101301010
5321013411301
624403041300
74110613044
oct1201216104
9381281500
10168107076
118698a375
1248370230
1328a9b857
141847d724
15eb59786
hexa051c44

168107076 has 60 divisors (see below), whose sum is σ = 441727440. Its totient is φ = 55747440.

The previous prime is 168107057. The next prime is 168107077. The reversal of 168107076 is 670701861.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 168107076.

It is not an unprimeable number, because it can be changed into a prime (168107077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67135 + ... + 69593.

It is an arithmetic number, because the mean of its divisors is an integer number (7362124).

Almost surely, 2168107076 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 168107076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220863720).

168107076 is an abundant number, since it is smaller than the sum of its proper divisors (273620364).

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

168107076 is a wasteful number, since it uses less digits than its factorization.

168107076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 168107076 is about 12965.6112852422. The cubic root of 168107076 is about 551.9020383817.

The spelling of 168107076 in words is "one hundred sixty-eight million, one hundred seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 211 324 422 633 844 1266 1899 2459 2532 3798 4918 5697 7377 7596 9836 11394 14754 17091 22131 22788 29508 34182 44262 66393 68364 88524 132786 199179 265572 398358 518849 796716 1037698 1556547 2075396 3113094 4669641 6226188 9339282 14008923 18678564 28017846 42026769 56035692 84053538 168107076