Base | Representation |
---|---|
bin | 1000110100010… |
… | …0100000000000 |
3 | 2120120211000220 |
4 | 2031010200000 |
5 | 33431340421 |
6 | 3400343040 |
7 | 626221362 |
oct | 215044000 |
9 | 76524026 |
10 | 36980736 |
11 | 199691a1 |
12 | 10474a80 |
13 | 787a4c0 |
14 | 4ca8d32 |
15 | 33a73c6 |
hex | 2344800 |
36980736 has 96 divisors (see below), whose sum is σ = 106404480. Its totient is φ = 11354112.
The previous prime is 36980687. The next prime is 36980743. The reversal of 36980736 is 63708963.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79641 + ... + 80103.
It is an arithmetic number, because the mean of its divisors is an integer number (1108380).
Almost surely, 236980736 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 36980736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53202240).
36980736 is an abundant number, since it is smaller than the sum of its proper divisors (69423744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36980736 is a wasteful number, since it uses less digits than its factorization.
36980736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 501 (or 481 counting only the distinct ones).
The product of its (nonzero) digits is 163296, while the sum is 42.
The square root of 36980736 is about 6081.1788330882. The cubic root of 36980736 is about 333.1643445651.
The spelling of 36980736 in words is "thirty-six million, nine hundred eighty thousand, seven hundred thirty-six".
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