Base | Representation |
---|---|
bin | 1000110000110010… |
… | …1011101111100100 |
3 | 20001220221211211022 |
4 | 2030030223233210 |
5 | 14304121311030 |
6 | 1025222230312 |
7 | 112200550565 |
oct | 21414535744 |
9 | 6056854738 |
10 | 2352135140 |
11 | aa779aa43 |
12 | 557885398 |
13 | 2b63ca354 |
14 | 18456016c |
15 | db76dde5 |
hex | 8c32bbe4 |
2352135140 has 48 divisors (see below), whose sum is σ = 5080546800. Its totient is φ = 914061312.
The previous prime is 2352135133. The next prime is 2352135143. The reversal of 2352135140 is 415312532.
It is a happy number.
2352135140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 69588964 + 2282546176 = 8342^2 + 47776^2 .
It is not an unprimeable number, because it can be changed into a prime (2352135143) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596696 + ... + 600624.
It is an arithmetic number, because the mean of its divisors is an integer number (105844725).
Almost surely, 22352135140 is an apocalyptic number.
2352135140 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 2352135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540273400).
2352135140 is an abundant number, since it is smaller than the sum of its proper divisors (2728411660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2352135140 is a wasteful number, since it uses less digits than its factorization.
2352135140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4784 (or 4782 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 26.
The square root of 2352135140 is about 48498.8158618332. The cubic root of 2352135140 is about 1329.9054222606.
Adding to 2352135140 its reverse (415312532), we get a palindrome (2767447672).
The spelling of 2352135140 in words is "two billion, three hundred fifty-two million, one hundred thirty-five thousand, one hundred forty".
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