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158160168 = 23337110313
BaseRepresentation
bin10010110110101…
…01010100101000
3102000121100222000
421123111110220
5310442111133
623405531000
73630224235
oct1133252450
9360540860
10158160168
1181306091
1244b73a60
13269c81ca
141701078c
15dd42413
hex96d5528

158160168 has 64 divisors (see below), whose sum is σ = 445564800. Its totient is φ = 51972480.

The previous prime is 158160151. The next prime is 158160173. The reversal of 158160168 is 861061851.

158160168 is a `hidden beast` number, since 1 + 581 + 60 + 16 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10180 + ... + 20492.

It is an arithmetic number, because the mean of its divisors is an integer number (6961950).

Almost surely, 2158160168 is an apocalyptic number.

158160168 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 158160168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222782400).

158160168 is an abundant number, since it is smaller than the sum of its proper divisors (287404632).

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

158160168 is a wasteful number, since it uses less digits than its factorization.

158160168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10399 (or 10389 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 158160168 is about 12576.1746171083. The cubic root of 158160168 is about 540.7946325605.

The spelling of 158160168 in words is "one hundred fifty-eight million, one hundred sixty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 852 1278 1704 1917 2556 3834 5112 7668 10313 15336 20626 30939 41252 61878 82504 92817 123756 185634 247512 278451 371268 556902 732223 742536 1113804 1464446 2196669 2227608 2928892 4393338 5857784 6590007 8786676 13180014 17573352 19770021 26360028 39540042 52720056 79080084 158160168