Base | Representation |
---|---|
bin | 1111110000000… |
… | …00101100101000 |
3 | 100012121120021110 |
4 | 13320000230220 |
5 | 232310422212 |
6 | 21035510320 |
7 | 3163013340 |
oct | 770005450 |
9 | 305546243 |
10 | 132123432 |
11 | 68642321 |
12 | 382b83a0 |
13 | 214b015c |
14 | 13793d20 |
15 | b8eca3c |
hex | 7e00b28 |
132123432 has 32 divisors (see below), whose sum is σ = 377496000. Its totient is φ = 37749504.
The previous prime is 132123427. The next prime is 132123451. The reversal of 132123432 is 234321231.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 132123399 and 132123408.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393057 + ... + 393392.
It is an arithmetic number, because the mean of its divisors is an integer number (11796750).
Almost surely, 2132123432 is an apocalyptic number.
132123432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
132123432 is an abundant number, since it is smaller than the sum of its proper divisors (245372568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132123432 is a wasteful number, since it uses less digits than its factorization.
132123432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 786465 (or 786461 counting only the distinct ones).
The product of its digits is 864, while the sum is 21.
The square root of 132123432 is about 11494.4957262161. The cubic root of 132123432 is about 509.3229925047.
Adding to 132123432 its reverse (234321231), we get a palindrome (366444663).
It can be divided in two parts, 1321 and 23432, that added together give a triangular number (24753 = T222).
The spelling of 132123432 in words is "one hundred thirty-two million, one hundred twenty-three thousand, four hundred thirty-two".
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