Search a number
-
+
158125968 = 2432711131097
BaseRepresentation
bin10010110110011…
…00111110010000
3102000112122001100
421123030332100
5310440012333
623405104400
73630022440
oct1133147620
9360478040
10158125968
1181292420
1244b58100
13269b5780
1417002120
15dd37213
hex96ccf90

158125968 has 240 divisors, whose sum is σ = 594711936. Its totient is φ = 37877760.

The previous prime is 158125949. The next prime is 158126011. The reversal of 158125968 is 869521851.

158125968 = 2073 + 2083 + ... + 2223.

It is a happy number.

158125968 is a `hidden beast` number, since 1 + 58 + 1 + 2 + 596 + 8 = 666.

158125968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143596 + ... + 144692.

Almost surely, 2158125968 is an apocalyptic number.

158125968 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 158125968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297355968).

158125968 is an abundant number, since it is smaller than the sum of its proper divisors (436585968).

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

158125968 is a wasteful number, since it uses less digits than its factorization.

158125968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1133 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 158125968 is about 12574.8148296506. The cubic root of 158125968 is about 540.7556499057.

The spelling of 158125968 in words is "one hundred fifty-eight million, one hundred twenty-five thousand, nine hundred sixty-eight".