Base | Representation |
---|---|
bin | 1000100111011… |
… | …1110100000100 |
3 | 2112000012222012 |
4 | 2021313310010 |
5 | 33223023330 |
6 | 3330353352 |
7 | 616130153 |
oct | 211676404 |
9 | 75005865 |
10 | 36142340 |
11 | 19446303 |
12 | 1012b858 |
13 | 7645a00 |
14 | 4b2b59a |
15 | 328dc95 |
hex | 2277d04 |
36142340 has 108 divisors (see below), whose sum is σ = 89664876. Its totient is φ = 12220416.
The previous prime is 36142339. The next prime is 36142349. The reversal of 36142340 is 4324163.
It is a happy number.
It can be written as a sum of positive squares in 18 ways, for example, as 15856324 + 20286016 = 3982^2 + 4504^2 .
It is not an unprimeable number, because it can be changed into a prime (36142349) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 976802 + ... + 976838.
Almost surely, 236142340 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 36142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44832438).
36142340 is an abundant number, since it is smaller than the sum of its proper divisors (53522536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36142340 is a wasteful number, since it uses less digits than its factorization.
36142340 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 106 (or 74 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 23.
The square root of 36142340 is about 6011.8499648611. The cubic root of 36142340 is about 330.6273343746.
The spelling of 36142340 in words is "thirty-six million, one hundred forty-two thousand, three hundred forty".
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