Base | Representation |
---|---|
bin | 11111000011110011010100 |
3 | 120022122202220 |
4 | 133003303110 |
5 | 4041021121 |
6 | 450302340 |
7 | 126130500 |
oct | 37036324 |
9 | 16278686 |
10 | 8142036 |
11 | 4661261 |
12 | 28879b0 |
13 | 18c0c96 |
14 | 111d300 |
15 | aac6c6 |
hex | 7c3cd4 |
8142036 has 72 divisors (see below), whose sum is σ = 22561056. Its totient is φ = 2278080.
The previous prime is 8141999. The next prime is 8142037. The reversal of 8142036 is 6302418.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 8141997 and 8142015.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8142037) 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, 35755 + ... + 35981.
It is an arithmetic number, because the mean of its divisors is an integer number (313348).
Almost surely, 28142036 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 8142036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280528).
8142036 is an abundant number, since it is smaller than the sum of its proper divisors (14419020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8142036 is a wasteful number, since it uses less digits than its factorization.
8142036 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 309 (or 300 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
The square root of 8142036 is about 2853.4253100441. The cubic root of 8142036 is about 201.1766966807.
It can be divided in two parts, 814 and 2036, that added together give a triangular number (2850 = T75).
The spelling of 8142036 in words is "eight million, one hundred forty-two thousand, thirty-six".
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