Base | Representation |
---|---|
bin | 1111101010100… |
… | …01100011001000 |
3 | 100011021010011210 |
4 | 13311101203020 |
5 | 232114443044 |
6 | 21012253120 |
7 | 3153634641 |
oct | 765214310 |
9 | 304233153 |
10 | 131406024 |
11 | 681a2322 |
12 | 380111a0 |
13 | 212bb759 |
14 | 136486c8 |
15 | b80a1b9 |
hex | 7d518c8 |
131406024 has 64 divisors (see below), whose sum is σ = 340992000. Its totient is φ = 42154560.
The previous prime is 131406001. The next prime is 131406029. The reversal of 131406024 is 420604131.
It is not an unprimeable number, because it can be changed into a prime (131406029) by changing a digit.
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, 177447 + ... + 178185.
It is an arithmetic number, because the mean of its divisors is an integer number (5328000).
Almost surely, 2131406024 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 131406024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170496000).
131406024 is an abundant number, since it is smaller than the sum of its proper divisors (209585976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131406024 is a wasteful number, since it uses less digits than its factorization.
131406024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1018 (or 1014 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
The square root of 131406024 is about 11463.2466605234. The cubic root of 131406024 is about 508.3994729194.
The spelling of 131406024 in words is "one hundred thirty-one million, four hundred six thousand, twenty-four".
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