Base | Representation |
---|---|
bin | 1111100111101… |
… | …10001111101000 |
3 | 100010120010011112 |
4 | 13303312033220 |
5 | 232021011130 |
6 | 21000245452 |
7 | 3150516416 |
oct | 763661750 |
9 | 303503145 |
10 | 131032040 |
11 | 67a67347 |
12 | 37a70888 |
13 | 211ba469 |
14 | 1358c2b6 |
15 | b784495 |
hex | 7cf63e8 |
131032040 has 64 divisors (see below), whose sum is σ = 306270720. Its totient is φ = 50400000.
The previous prime is 131031997. The next prime is 131032067. The reversal of 131032040 is 40230131.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 311030 + ... + 311450.
It is an arithmetic number, because the mean of its divisors is an integer number (4785480).
Almost surely, 2131032040 is an apocalyptic number.
131032040 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 131032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153135360).
131032040 is an abundant number, since it is smaller than the sum of its proper divisors (175238680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131032040 is a wasteful number, since it uses less digits than its factorization.
131032040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 714 (or 710 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 131032040 is about 11446.9227305857. The cubic root of 131032040 is about 507.9167098449.
Adding to 131032040 its reverse (40230131), we get a palindrome (171262171).
The spelling of 131032040 in words is "one hundred thirty-one million, thirty-two thousand, forty".
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