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158160 = 2435659
BaseRepresentation
bin100110100111010000
322000221210
4212213100
520030120
63220120
71226052
oct464720
9260853
10158160
11a8912
1277640
1356cb2
14418d2
1531ce0
hex269d0

158160 has 40 divisors (see below), whose sum is σ = 491040. Its totient is φ = 42112.

The previous prime is 158143. The next prime is 158161. The reversal of 158160 is 61851.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158161) by changing a digit.

158160 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 7 ways as a sum of consecutive naturals, for example, 90 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2158160 is an apocalyptic number.

158160 is a gapful number since it is divisible by the number (10) 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 158160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245520).

158160 is an abundant number, since it is smaller than the sum of its proper divisors (332880).

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

158160 is a wasteful number, since it uses less digits than its factorization.

158160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 158160 is about 397.6933492026. The cubic root of 158160 is about 54.0794441081.

The spelling of 158160 in words is "one hundred fifty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 659 1318 1977 2636 3295 3954 5272 6590 7908 9885 10544 13180 15816 19770 26360 31632 39540 52720 79080 158160