Base | Representation |
---|---|
bin | 101111011011… |
… | …001011100100 |
3 | 212101121122011 |
4 | 233123023210 |
5 | 11140311400 |
6 | 1122244004 |
7 | 210446122 |
oct | 57331344 |
9 | 25347564 |
10 | 12432100 |
11 | 702146a |
12 | 41b6604 |
13 | 2763895 |
14 | 1918912 |
15 | 11588ba |
hex | bdb2e4 |
12432100 has 72 divisors (see below), whose sum is σ = 29248128. Its totient is φ = 4569600.
The previous prime is 12432089. The next prime is 12432107. The reversal of 12432100 is 123421.
It is a super-2 number, since 2×124321002 = 309114220820000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12432107) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120649 + ... + 120751.
It is an arithmetic number, because the mean of its divisors is an integer number (406224).
Almost surely, 212432100 is an apocalyptic number.
12432100 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 12432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064).
12432100 is an abundant number, since it is smaller than the sum of its proper divisors (16816028).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12432100 is a wasteful number, since it uses less digits than its factorization.
12432100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 205 (or 198 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 12432100 is about 3525.9183200976. The cubic root of 12432100 is about 231.6584599914.
Adding to 12432100 its reverse (123421), we get a palindrome (12555521).
The spelling of 12432100 in words is "twelve million, four hundred thirty-two thousand, one hundred".
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