Base | Representation |
---|---|
bin | 1000100110001… |
… | …0100000000000 |
3 | 2111211210012212 |
4 | 2021202200000 |
5 | 33212230130 |
6 | 3324441252 |
7 | 615314510 |
oct | 211424000 |
9 | 74753185 |
10 | 36055040 |
11 | 1939675a |
12 | 100a9228 |
13 | 7615058 |
14 | 4b07840 |
15 | 3272e95 |
hex | 2262800 |
36055040 has 96 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 12337152.
The previous prime is 36055013. The next prime is 36055043. The reversal of 36055040 is 4055063.
It is a super-3 number, since 3×360550403 (a number of 24 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 36054997 and 36055015.
It is not an unprimeable number, because it can be changed into a prime (36055043) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71429 + ... + 71931.
It is an arithmetic number, because the mean of its divisors is an integer number (1031940).
Almost surely, 236055040 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 36055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).
36055040 is an abundant number, since it is smaller than the sum of its proper divisors (63011200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36055040 is an equidigital number, since it uses as much as digits as its factorization.
36055040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 537 (or 517 counting only the distinct ones).
The product of its (nonzero) digits is 1800, while the sum is 23.
The square root of 36055040 is about 6004.5849148796. The cubic root of 36055040 is about 330.3609151999.
Adding to 36055040 its sum of digits (23), we get a palindrome (36055063).
The spelling of 36055040 in words is "thirty-six million, fifty-five thousand, forty".
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