Base | Representation |
---|---|
bin | 10000001110110… |
… | …10110001000000 |
3 | 100111012202122200 |
4 | 20013122301000 |
5 | 234324143433 |
6 | 21302233200 |
7 | 3242234556 |
oct | 1007326100 |
9 | 314182580 |
10 | 136162368 |
11 | 6a950891 |
12 | 39725800 |
13 | 22295664 |
14 | 14125bd6 |
15 | be49613 |
hex | 81dac40 |
136162368 has 84 divisors (see below), whose sum is σ = 400895820. Its totient is φ = 44153856.
The previous prime is 136162339. The next prime is 136162387. The reversal of 136162368 is 863261631.
136162368 is a `hidden beast` number, since 1 + 3 + 616 + 2 + 36 + 8 = 666.
136162368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 49449024 + 86713344 = 7032^2 + 9312^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18118 + ... + 24506.
Almost surely, 2136162368 is an apocalyptic number.
136162368 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 136162368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200447910).
136162368 is an abundant number, since it is smaller than the sum of its proper divisors (264733452).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136162368 is a wasteful number, since it uses less digits than its factorization.
136162368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6444 (or 6431 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
The square root of 136162368 is about 11668.8631837039. The cubic root of 136162368 is about 514.4608905891.
The spelling of 136162368 in words is "one hundred thirty-six million, one hundred sixty-two thousand, three hundred sixty-eight".
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