Base | Representation |
---|---|
bin | 10000010001001… |
… | …00010100000000 |
3 | 100111210001220000 |
4 | 20020210110000 |
5 | 234413313431 |
6 | 21312520000 |
7 | 3244631052 |
oct | 1010442400 |
9 | 314701800 |
10 | 136463616 |
11 | 70037153 |
12 | 39850000 |
13 | 2236c803 |
14 | 141a38d2 |
15 | bea89e6 |
hex | 8224500 |
136463616 has 90 divisors (see below), whose sum is σ = 406971642. Its totient is φ = 45480960.
The previous prime is 136463609. The next prime is 136463629. The reversal of 136463616 is 616364631.
136463616 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 636 + 16 = 666.
It can be written as a sum of positive squares in only one way, i.e., 101606400 + 34857216 = 10080^2 + 5904^2 .
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 a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17446 + ... + 24026.
Almost surely, 2136463616 is an apocalyptic number.
136463616 is a gapful number since it is divisible by the number (16) 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 136463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203485821).
136463616 is an abundant number, since it is smaller than the sum of its proper divisors (270508026).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136463616 is an frugal number, since it uses more digits than its factorization.
136463616 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6609 (or 6586 counting only the distinct ones).
The product of its digits is 46656, while the sum is 36.
The square root of 136463616 is about 11681.7642503177. The cubic root of 136463616 is about 514.8400118867.
It can be divided in two parts, 1364 and 63616, that added together give a triangular number (64980 = T360).
The spelling of 136463616 in words is "one hundred thirty-six million, four hundred sixty-three thousand, six hundred sixteen".
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