Base | Representation |
---|---|
bin | 1111101101010… |
… | …11010000000000 |
3 | 100011221210011210 |
4 | 13312223100000 |
5 | 232213222230 |
6 | 21024210120 |
7 | 3160025061 |
oct | 766532000 |
9 | 304853153 |
10 | 131773440 |
11 | 68423377 |
12 | 38169940 |
13 | 213b9a66 |
14 | 13702568 |
15 | b87deb0 |
hex | 7dab400 |
131773440 has 176 divisors, whose sum is σ = 440972928. Its totient is φ = 33521664.
The previous prime is 131773399. The next prime is 131773513. The reversal of 131773440 is 44377131.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a nialpdrome in base 8.
It is a junction number, because it is equal to n+sod(n) for n = 131773398 and 131773407.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353094 + ... + 353466.
It is an arithmetic number, because the mean of its divisors is an integer number (2505528).
Almost surely, 2131773440 is an apocalyptic number.
131773440 is a gapful number since it is divisible by the number (10) 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 131773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220486464).
131773440 is an abundant number, since it is smaller than the sum of its proper divisors (309199488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131773440 is a wasteful number, since it uses less digits than its factorization.
131773440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 424 (or 406 counting only the distinct ones).
The product of its (nonzero) digits is 7056, while the sum is 30.
The square root of 131773440 is about 11479.2613002754. The cubic root of 131773440 is about 508.8728664282.
The spelling of 131773440 in words is "one hundred thirty-one million, seven hundred seventy-three thousand, four hundred forty".
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