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168077106 = 2342933541
BaseRepresentation
bin10100000010010…
…10011100110010
3102201021012110000
422001022130302
5321011431411
624402250430
74110426501
oct1201123462
9381235400
10168077106
11869698aa
1248356a16
1328a8b012
1418472838
15eb50956
hexa04a732

168077106 has 40 divisors (see below), whose sum is σ = 378009324. Its totient is φ = 55818720.

The previous prime is 168077101. The next prime is 168077111. The reversal of 168077106 is 601770861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (168077101) and next prime (168077111).

It can be written as a sum of positive squares in 2 ways, for example, as 158986881 + 9090225 = 12609^2 + 3015^2 .

It is a super-2 number, since 2×1680771062 = 56499827122670472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (168077101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45696 + ... + 49236.

Almost surely, 2168077106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168077106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189004662).

168077106 is an abundant number, since it is smaller than the sum of its proper divisors (209932218).

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

168077106 is a wasteful number, since it uses less digits than its factorization.

168077106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 3839 counting only the distinct ones).

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

The square root of 168077106 is about 12964.4554841304. The cubic root of 168077106 is about 551.8692388757.

The spelling of 168077106 in words is "one hundred sixty-eight million, seventy-seven thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 293 586 879 1758 2637 3541 5274 7082 7911 10623 15822 21246 23733 31869 47466 63738 95607 191214 286821 573642 1037513 2075026 3112539 6225078 9337617 18675234 28012851 56025702 84038553 168077106