Base | Representation |
---|---|
bin | 1111101001110… |
… | …10000110100000 |
3 | 100011002020102202 |
4 | 13310322012200 |
5 | 232103404414 |
6 | 21010232332 |
7 | 3153054641 |
oct | 764720640 |
9 | 304066382 |
10 | 131309984 |
11 | 68137153 |
12 | 37b856a8 |
13 | 21286b20 |
14 | 136216c8 |
15 | b7db9de |
hex | 7d3a1a0 |
131309984 has 48 divisors (see below), whose sum is σ = 281830752. Its totient is φ = 59858688.
The previous prime is 131309957. The next prime is 131309993. The reversal of 131309984 is 489903131.
It is a happy number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32627 + ... + 36429.
It is an arithmetic number, because the mean of its divisors is an integer number (5871474).
Almost surely, 2131309984 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131309984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140915376).
131309984 is an abundant number, since it is smaller than the sum of its proper divisors (150520768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131309984 is a wasteful number, since it uses less digits than its factorization.
131309984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3909 (or 3901 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 38.
The square root of 131309984 is about 11459.0568547329. The cubic root of 131309984 is about 508.2755856882.
The spelling of 131309984 in words is "one hundred thirty-one million, three hundred nine thousand, nine hundred eighty-four".
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