Base | Representation |
---|---|
bin | 111110110011000… |
… | …0101011100010100 |
3 | 12102211221120212100 |
4 | 1331212011130110 |
5 | 13303411321024 |
6 | 545031122100 |
7 | 103134233646 |
oct | 17546053424 |
9 | 5384846770 |
10 | 2107135764 |
11 | 991472318 |
12 | 4a9813330 |
13 | 277718ac6 |
14 | 15dbc6896 |
15 | c4ec67c9 |
hex | 7d985714 |
2107135764 has 18 divisors (see below), whose sum is σ = 5326371050. Its totient is φ = 702378576.
The previous prime is 2107135759. The next prime is 2107135769. The reversal of 2107135764 is 4675317012.
It is a happy number.
2107135764 is a `hidden beast` number, since 2 + 10 + 71 + 3 + 576 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (2107135759) and next prime (2107135769).
It can be written as a sum of positive squares in only one way, i.e., 1126944900 + 980190864 = 33570^2 + 31308^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a super-2 number, since 2×21071357642 = 8880042255855727392, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 58531549 = 2107135764 / (2 + 1 + 0 + 7 + 1 + 3 + 5 + 7 + 6 + 4).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2107135769) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29265739 + ... + 29265810.
Almost surely, 22107135764 is an apocalyptic number.
It is an amenable number.
2107135764 is an abundant number, since it is smaller than the sum of its proper divisors (3219235286).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2107135764 is a wasteful number, since it uses less digits than its factorization.
2107135764 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 58531559 (or 58531554 counting only the distinct ones).
The product of its (nonzero) digits is 35280, while the sum is 36.
The square root of 2107135764 is about 45903.5484902856. The cubic root of 2107135764 is about 1282.0279872168.
The spelling of 2107135764 in words is "two billion, one hundred seven million, one hundred thirty-five thousand, seven hundred sixty-four".
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