Base | Representation |
---|---|
bin | 1000110010000… |
… | …1000110011100 |
3 | 2120022110010200 |
4 | 2030201012130 |
5 | 33412220430 |
6 | 3353303500 |
7 | 625045554 |
oct | 214410634 |
9 | 76273120 |
10 | 36835740 |
11 | 1987a267 |
12 | 10404b90 |
13 | 78294c6 |
14 | 4c6c164 |
15 | 3379460 |
hex | 232119c |
36835740 has 72 divisors (see below), whose sum is σ = 112786128. Its totient is φ = 9730560.
The previous prime is 36835739. The next prime is 36835741. The reversal of 36835740 is 4753863.
It is a happy number.
36835740 is a `hidden beast` number, since 3 + 6 + 83 + 574 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (36835739) and next prime (36835741).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 36835695 and 36835704.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36835741) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19435 + ... + 21245.
It is an arithmetic number, because the mean of its divisors is an integer number (1566474).
It is a vampire number, since it can be written as 5433 ⋅ 6780 (with its own digits).
Almost surely, 236835740 is an apocalyptic number.
36835740 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 36835740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56393064).
36835740 is an abundant number, since it is smaller than the sum of its proper divisors (75950388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36835740 is a wasteful number, since it uses less digits than its factorization.
36835740 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1939 (or 1934 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 36.
The square root of 36835740 is about 6069.2454226205. The cubic root of 36835740 is about 332.7283448533.
The spelling of 36835740 in words is "thirty-six million, eight hundred thirty-five thousand, seven hundred forty".
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