Base | Representation |
---|---|
bin | 111111110010110… |
… | …0010010100110100 |
3 | 12112011211000120200 |
4 | 1333211202110310 |
5 | 13340434440411 |
6 | 552223200500 |
7 | 104021225634 |
oct | 17745422464 |
9 | 5464730520 |
10 | 2140546356 |
11 | 9a9312183 |
12 | 4b8a46130 |
13 | 2816162a0 |
14 | 1644026c4 |
15 | c7dc5e56 |
hex | 7f962534 |
2140546356 has 72 divisors (see below), whose sum is σ = 5852781480. Its totient is φ = 655720704.
The previous prime is 2140546339. The next prime is 2140546361. The reversal of 2140546356 is 6536450412.
2140546356 is a `hidden beast` number, since 2 + 14 + 0 + 5 + 4 + 635 + 6 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 318622500 + 1821923856 = 17850^2 + 42684^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 2140546356.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97186 + ... + 117158.
Almost surely, 22140546356 is an apocalyptic number.
2140546356 is a gapful number since it is divisible by the number (26) 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 2140546356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926390740).
2140546356 is an abundant number, since it is smaller than the sum of its proper divisors (3712235124).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2140546356 is a wasteful number, since it uses less digits than its factorization.
2140546356 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20225 (or 20220 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
The square root of 2140546356 is about 46266.0389054434. The cubic root of 2140546356 is about 1288.7684008796.
Adding to 2140546356 its reverse (6536450412), we get a palindrome (8676996768).
The spelling of 2140546356 in words is "two billion, one hundred forty million, five hundred forty-six thousand, three hundred fifty-six".
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