| Base | Representation |
|---|---|
| bin | 10000000110000… |
| … | …00100011100000 |
| 3 | 100102001001000020 |
| 4 | 20003000203200 |
| 5 | 234030201212 |
| 6 | 21221353440 |
| 7 | 3226351521 |
| oct | 1003004340 |
| 9 | 312031006 |
| 10 | 135006432 |
| 11 | 6a231370 |
| 12 | 39268880 |
| 13 | 21c7c482 |
| 14 | 13d04848 |
| 15 | bcbbd8c |
| hex | 80c08e0 |
135006432 has 96 divisors (see below), whose sum is σ = 389370240. Its totient is φ = 40619520.
The previous prime is 135006427. The next prime is 135006433. The reversal of 135006432 is 234600531.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (135006433) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182319 + ... + 183057.
It is an arithmetic number, because the mean of its divisors is an integer number (4055940).
Almost surely, 2135006432 is an apocalyptic number.
135006432 is a gapful number since it is divisible by the number (12) 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 135006432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194685120).
135006432 is an abundant number, since it is smaller than the sum of its proper divisors (254363808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135006432 is a wasteful number, since it uses less digits than its factorization.
135006432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 936 (or 928 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 24.
The square root of 135006432 is about 11619.2268245353. The cubic root of 135006432 is about 513.0009309590. Note that the first 3 decimals are identical.
Adding to 135006432 its reverse (234600531), we get a palindrome (369606963).
The spelling of 135006432 in words is "one hundred thirty-five million, six thousand, four hundred thirty-two".
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