Base | Representation |
---|---|
bin | 1000101011011… |
… | …0100000011100 |
3 | 2112111021020000 |
4 | 2022312200130 |
5 | 33304233012 |
6 | 3340054300 |
7 | 621246630 |
oct | 212664034 |
9 | 75437200 |
10 | 36399132 |
11 | 19601230 |
12 | 10234390 |
13 | 7705863 |
14 | 4b96dc0 |
15 | 32deddc |
hex | 22b681c |
36399132 has 120 divisors (see below), whose sum is σ = 118715520. Its totient is φ = 9447840.
The previous prime is 36399107. The next prime is 36399137. The reversal of 36399132 is 23199363.
It is a happy number.
36399132 is a `hidden beast` number, since 3 + 639 + 9 + 13 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36399137) by changing a digit.
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 39 ways as a sum of consecutive naturals, for example, 24219 + ... + 25677.
It is an arithmetic number, because the mean of its divisors is an integer number (989296).
Almost surely, 236399132 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36399132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59357760).
36399132 is an abundant number, since it is smaller than the sum of its proper divisors (82316388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36399132 is a wasteful number, since it uses less digits than its factorization.
36399132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1493 (or 1482 counting only the distinct ones).
The product of its digits is 26244, while the sum is 36.
The square root of 36399132 is about 6033.1693163710. The cubic root of 36399132 is about 331.4085249539.
The spelling of 36399132 in words is "thirty-six million, three hundred ninety-nine thousand, one hundred thirty-two".
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