Base | Representation |
---|---|
bin | 1111110000000… |
… | …10011001110000 |
3 | 100012121220212010 |
4 | 13320002121300 |
5 | 232311133131 |
6 | 21040002520 |
7 | 3163042605 |
oct | 770023160 |
9 | 305556763 |
10 | 132130416 |
11 | 686475a0 |
12 | 38300440 |
13 | 214b33a2 |
14 | 137966ac |
15 | b8eeb46 |
hex | 7e02670 |
132130416 has 80 divisors (see below), whose sum is σ = 374226048. Its totient is φ = 39840000.
The previous prime is 132130403. The next prime is 132130447. The reversal of 132130416 is 614031231.
132130416 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 = 132130392 and 132130401.
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, 132030 + ... + 133026.
Almost surely, 2132130416 is an apocalyptic number.
132130416 is a gapful number since it is divisible by the number (16) 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 132130416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187113024).
132130416 is an abundant number, since it is smaller than the sum of its proper divisors (242095632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132130416 is a wasteful number, since it uses less digits than its factorization.
132130416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1270 (or 1264 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 21.
The square root of 132130416 is about 11494.7995197828. The cubic root of 132130416 is about 509.3319665604.
Adding to 132130416 its reverse (614031231), we get a palindrome (746161647).
The spelling of 132130416 in words is "one hundred thirty-two million, one hundred thirty thousand, four hundred sixteen".
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