Base | Representation |
---|---|
bin | 1111101111011… |
… | …00010101000000 |
3 | 100012110022211101 |
4 | 13313230111000 |
5 | 232300240000 |
6 | 21034024144 |
7 | 3162215161 |
oct | 767542500 |
9 | 305408741 |
10 | 132040000 |
11 | 68595674 |
12 | 38278054 |
13 | 214811a1 |
14 | 13771768 |
15 | b8d2e6a |
hex | 7dec540 |
132040000 has 70 divisors (see below), whose sum is σ = 327515474. Its totient is φ = 52800000.
The previous prime is 132039997. The next prime is 132040021. The reversal of 132040000 is 40231.
It can be written as a sum of positive squares in 5 ways, for example, as 72318016 + 59721984 = 8504^2 + 7728^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38350 + ... + 41650.
Almost surely, 2132040000 is an apocalyptic number.
132040000 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 132040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163757737).
132040000 is an abundant number, since it is smaller than the sum of its proper divisors (195475474).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132040000 is an frugal number, since it uses more digits than its factorization.
132040000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3333 (or 3308 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 132040000 is about 11490.8659377786. The cubic root of 132040000 is about 509.2157625129.
Adding to 132040000 its reverse (40231), we get a palindrome (132080231).
The spelling of 132040000 in words is "one hundred thirty-two million, forty thousand".
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