Base | Representation |
---|---|
bin | 1000001001110010111110 |
3 | 11000120210110 |
4 | 20021302332 |
5 | 1021343103 |
6 | 113450450 |
7 | 24111063 |
oct | 10116276 |
9 | 4016713 |
10 | 2137278 |
11 | 122a850 |
12 | 870a26 |
13 | 59aa80 |
14 | 3d8c6a |
15 | 2c3403 |
hex | 209cbe |
2137278 has 64 divisors (see below), whose sum is σ = 5225472. Its totient is φ = 574080.
The previous prime is 2137273. The next prime is 2137279. The reversal of 2137278 is 8727312.
2137278 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
2137278 is a nontrivial binomial coefficient, being equal to C(2068, 2).
It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.
It is an Ulam number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2137273) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40300 + ... + 40352.
It is an arithmetic number, because the mean of its divisors is an integer number (81648).
22137278 is an apocalyptic number.
2137278 is the 2067-th triangular number and also the 1034-th hexagonal number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2137278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612736).
2137278 is an abundant number, since it is smaller than the sum of its proper divisors (3088194).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2137278 is a wasteful number, since it uses less digits than its factorization.
2137278 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 129.
The product of its digits is 4704, while the sum is 30.
The square root of 2137278 is about 1461.9432273519. The cubic root of 2137278 is about 128.8112135473.
It can be divided in two parts, 2137 and 278, that added together give a triangular number (2415 = T69).
The spelling of 2137278 in words is "two million, one hundred thirty-seven thousand, two hundred seventy-eight".
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