Base | Representation |
---|---|
bin | 1000101101110… |
… | …0111010011000 |
3 | 2112210021000020 |
4 | 2023130322120 |
5 | 33324301230 |
6 | 3343310440 |
7 | 622503354 |
oct | 213347230 |
9 | 75707006 |
10 | 36556440 |
11 | 196a9438 |
12 | 102ab420 |
13 | 775c33b |
14 | 4bd8464 |
15 | 3321810 |
hex | 22dce98 |
36556440 has 96 divisors (see below), whose sum is σ = 113678640. Its totient is φ = 9404160.
The previous prime is 36556417. The next prime is 36556441. The reversal of 36556440 is 4465563.
36556440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36556441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115162 + ... + 115478.
Almost surely, 236556440 is an apocalyptic number.
36556440 is a gapful number since it is divisible by the number (30) 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 36556440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56839320).
36556440 is an abundant number, since it is smaller than the sum of its proper divisors (77122200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36556440 is a wasteful number, since it uses less digits than its factorization.
36556440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 393 (or 358 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 33.
The square root of 36556440 is about 6046.1921901309. The cubic root of 36556440 is about 331.8852605876.
The spelling of 36556440 in words is "thirty-six million, five hundred fifty-six thousand, four hundred forty".
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