Base | Representation |
---|---|
bin | 1000111101011101… |
… | …0110100100011000 |
3 | 20012121221001102112 |
4 | 2033113112210120 |
5 | 14411221414030 |
6 | 1034401051452 |
7 | 113414255303 |
oct | 21727264430 |
9 | 6177831375 |
10 | 2405263640 |
11 | 102478819a |
12 | 571626b88 |
13 | 2c440c730 |
14 | 18b62db3a |
15 | e1265a95 |
hex | 8f5d6918 |
2405263640 has 128 divisors (see below), whose sum is σ = 6157347840. Its totient is φ = 838903296.
The previous prime is 2405263613. The next prime is 2405263667. The reversal of 2405263640 is 463625042.
2405263640 is digitally balanced in base 2, because in such base 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 (2405263613) and next prime (2405263667).
It is a junction number, because it is equal to n+sod(n) for n = 2405263597 and 2405263606.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991469 + ... + 993891.
It is an arithmetic number, because the mean of its divisors is an integer number (48104280).
Almost surely, 22405263640 is an apocalyptic number.
2405263640 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 2405263640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078673920).
2405263640 is an abundant number, since it is smaller than the sum of its proper divisors (3752084200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2405263640 is a wasteful number, since it uses less digits than its factorization.
2405263640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2553 (or 2549 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 32.
The square root of 2405263640 is about 49043.4872332708. The cubic root of 2405263640 is about 1339.8439782702.
Adding to 2405263640 its reverse (463625042), we get a palindrome (2868888682).
The spelling of 2405263640 in words is "two billion, four hundred five million, two hundred sixty-three thousand, six hundred forty".
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