Base | Representation |
---|---|
bin | 1001100010110111… |
… | …0100111101100000 |
3 | 20121120010201101100 |
4 | 2120231310331200 |
5 | 20221402301430 |
6 | 1102123434400 |
7 | 120330626526 |
oct | 23055647540 |
9 | 6546121340 |
10 | 2562150240 |
11 | 10a52a3441 |
12 | 5b6085a00 |
13 | 31aa80040 |
14 | 1a43cc316 |
15 | eee05960 |
hex | 98b74f60 |
2562150240 has 576 divisors, whose sum is σ = 10193916096. Its totient is φ = 580386816.
The previous prime is 2562150193. The next prime is 2562150287. The reversal of 2562150240 is 420512652.
2562150240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2562150193) and next prime (2562150287).
It is a super-2 number, since 2×25621502402 = 13129227704664115200, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26413872 + ... + 26413968.
It is an arithmetic number, because the mean of its divisors is an integer number (17697771).
Almost surely, 22562150240 is an apocalyptic number.
2562150240 is a gapful number since it is divisible by the number (20) 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 2562150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096958048).
2562150240 is an abundant number, since it is smaller than the sum of its proper divisors (7631765856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2562150240 is a wasteful number, since it uses less digits than its factorization.
2562150240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 231 (or 220 counting only the distinct ones).
The product of its (nonzero) digits is 4800, while the sum is 27.
The square root of 2562150240 is about 50617.6870273623. The cubic root of 2562150240 is about 1368.3636562701.
Adding to 2562150240 its reverse (420512652), we get a palindrome (2982662892).
The spelling of 2562150240 in words is "two billion, five hundred sixty-two million, one hundred fifty thousand, two hundred forty".
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