Base | Representation |
---|---|
bin | 1111101111000… |
… | …10100001100000 |
3 | 100012101021201222 |
4 | 13313202201200 |
5 | 232242443330 |
6 | 21033114212 |
7 | 3161660120 |
oct | 767424140 |
9 | 305337658 |
10 | 131999840 |
11 | 68568485 |
12 | 38258968 |
13 | 21468b1b |
14 | 13760c80 |
15 | b8c60e5 |
hex | 7de2860 |
131999840 has 96 divisors (see below), whose sum is σ = 375217920. Its totient is φ = 42868224.
The previous prime is 131999807. The next prime is 131999887. The reversal of 131999840 is 48999131.
131999840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 131999791 and 131999800.
It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 18179 + ... + 24381.
It is an arithmetic number, because the mean of its divisors is an integer number (3908520).
Almost surely, 2131999840 is an apocalyptic number.
131999840 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 131999840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187608960).
131999840 is an abundant number, since it is smaller than the sum of its proper divisors (243218080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131999840 is a wasteful number, since it uses less digits than its factorization.
131999840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6244 (or 6236 counting only the distinct ones).
The product of its (nonzero) digits is 69984, while the sum is 44.
The square root of 131999840 is about 11489.1183299677. The cubic root of 131999840 is about 509.1641312429.
The spelling of 131999840 in words is "one hundred thirty-one million, nine hundred ninety-nine thousand, eight hundred forty".
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