Base | Representation |
---|---|
bin | 1111101100101… |
… | …00010111111010 |
3 | 100011210000122100 |
4 | 13312110113322 |
5 | 232202222423 |
6 | 21022204230 |
7 | 3156154641 |
oct | 766242772 |
9 | 304700570 |
10 | 131679738 |
11 | 68369a33 |
12 | 38123676 |
13 | 21386208 |
14 | 136ba358 |
15 | b861343 |
hex | 7d945fa |
131679738 has 36 divisors (see below), whose sum is σ = 298271610. Its totient is φ = 41981808.
The previous prime is 131679733. The next prime is 131679763. The reversal of 131679738 is 837976131.
It can be written as a sum of positive squares in only one way, i.e., 126495009 + 5184729 = 11247^2 + 2277^2 .
It is a junction number, because it is equal to n+sod(n) for n = 131679693 and 131679702.
It is not an unprimeable number, because it can be changed into a prime (131679733) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2608 + ... + 16436.
Almost surely, 2131679738 is an apocalyptic number.
131679738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 131679738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149135805).
131679738 is an abundant number, since it is smaller than the sum of its proper divisors (166591872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131679738 is a wasteful number, since it uses less digits than its factorization.
131679738 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13883 (or 13857 counting only the distinct ones).
The product of its digits is 190512, while the sum is 45.
The square root of 131679738 is about 11475.1792142868. The cubic root of 131679738 is about 508.7522206899.
The spelling of 131679738 in words is "one hundred thirty-one million, six hundred seventy-nine thousand, seven hundred thirty-eight".
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