Base | Representation |
---|---|
bin | 1101011111001… |
… | …01011111100000 |
3 | 21212212222122200 |
4 | 12233211133200 |
5 | 212430401012 |
6 | 15120533200 |
7 | 2542440216 |
oct | 657453740 |
9 | 255788580 |
10 | 113137632 |
11 | 58954a83 |
12 | 31a81200 |
13 | 1a59355a |
14 | 11050cb6 |
15 | 9dec3dc |
hex | 6be57e0 |
113137632 has 72 divisors (see below), whose sum is σ = 325680264. Its totient is φ = 37250304.
The previous prime is 113137597. The next prime is 113137639. The reversal of 113137632 is 236731311.
113137632 is a `hidden beast` number, since 1 + 13 + 13 + 7 + 632 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a junction number, because it is equal to n+sod(n) for n = 113137596 and 113137605.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (113137639) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21538 + ... + 26270.
It is an arithmetic number, because the mean of its divisors is an integer number (4523337).
Almost surely, 2113137632 is an apocalyptic number.
113137632 is a gapful number since it is divisible by the number (12) 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 113137632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162840132).
113137632 is an abundant number, since it is smaller than the sum of its proper divisors (212542632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113137632 is a wasteful number, since it uses less digits than its factorization.
113137632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4832 (or 4821 counting only the distinct ones).
The product of its digits is 2268, while the sum is 27.
The square root of 113137632 is about 10636.6175074598. The cubic root of 113137632 is about 483.6550145016.
Adding to 113137632 its reverse (236731311), we get a palindrome (349868943).
The spelling of 113137632 in words is "one hundred thirteen million, one hundred thirty-seven thousand, six hundred thirty-two".
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