Base | Representation |
---|---|
bin | 1111110010001… |
… | …01001001000110 |
3 | 100020010210211210 |
4 | 13321011021012 |
5 | 232343410112 |
6 | 21045512250 |
7 | 3165261600 |
oct | 771051106 |
9 | 306123753 |
10 | 132403782 |
11 | 68813a15 |
12 | 38412686 |
13 | 2157a944 |
14 | 13828170 |
15 | b955b3c |
hex | 7e45246 |
132403782 has 48 divisors (see below), whose sum is σ = 312429312. Its totient is φ = 37290960.
The previous prime is 132403781. The next prime is 132403783. The reversal of 132403782 is 287304231.
It is an interprime number because it is at equal distance from previous prime (132403781) and next prime (132403783).
It is a super-2 number, since 2×1324037822 = 35061522975807048, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132403781) 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 23 ways as a sum of consecutive naturals, for example, 17703 + ... + 24045.
It is an arithmetic number, because the mean of its divisors is an integer number (6508944).
Almost surely, 2132403782 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132403782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156214656).
132403782 is an abundant number, since it is smaller than the sum of its proper divisors (180025530).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132403782 is a wasteful number, since it uses less digits than its factorization.
132403782 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6433 (or 6426 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 30.
The square root of 132403782 is about 11506.6842313501. The cubic root of 132403782 is about 509.6829786787.
The spelling of 132403782 in words is "one hundred thirty-two million, four hundred three thousand, seven hundred eighty-two".
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