Base | Representation |
---|---|
bin | 1111110001101… |
… | …01100110000100 |
3 | 100020000120111012 |
4 | 13320311212010 |
5 | 232334340400 |
6 | 21044301352 |
7 | 3164605124 |
oct | 770654604 |
9 | 306016435 |
10 | 132340100 |
11 | 68780092 |
12 | 383a1858 |
13 | 21557969 |
14 | 1380cc84 |
15 | b941d35 |
hex | 7e35984 |
132340100 has 36 divisors (see below), whose sum is σ = 288708084. Its totient is φ = 52654080.
The previous prime is 132340057. The next prime is 132340133. The reversal of 132340100 is 1043231.
It can be written as a sum of positive squares in 6 ways, for example, as 45589504 + 86750596 = 6752^2 + 9314^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15872 + ... + 22728.
It is an arithmetic number, because the mean of its divisors is an integer number (8019669).
Almost surely, 2132340100 is an apocalyptic number.
132340100 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 132340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144354042).
132340100 is an abundant number, since it is smaller than the sum of its proper divisors (156367984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132340100 is a wasteful number, since it uses less digits than its factorization.
132340100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7064 (or 7057 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 132340100 is about 11503.9167243161. The cubic root of 132340100 is about 509.6012518175.
Adding to 132340100 its reverse (1043231), we get a palindrome (133383331).
The spelling of 132340100 in words is "one hundred thirty-two million, three hundred forty thousand, one hundred".
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