Base | Representation |
---|---|
bin | 10000000110110… |
… | …10111001111100 |
3 | 100102020112001201 |
4 | 20003122321330 |
5 | 234042124424 |
6 | 21223545244 |
7 | 3230311300 |
oct | 1003327174 |
9 | 312215051 |
10 | 135114364 |
11 | 6a2a5470 |
12 | 392bb224 |
13 | 21cb9638 |
14 | 13d31d00 |
15 | bcddd44 |
hex | 80dae7c |
135114364 has 72 divisors (see below), whose sum is σ = 310549680. Its totient is φ = 50803200.
The previous prime is 135114361. The next prime is 135114373. The reversal of 135114364 is 463411531.
135114364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (135114361) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61444 + ... + 63604.
It is an arithmetic number, because the mean of its divisors is an integer number (4313190).
Almost surely, 2135114364 is an apocalyptic number.
135114364 is a gapful number since it is divisible by the number (14) 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 135114364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155274840).
135114364 is an abundant number, since it is smaller than the sum of its proper divisors (175435316).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135114364 is a wasteful number, since it uses less digits than its factorization.
135114364 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2219 (or 2210 counting only the distinct ones).
The product of its digits is 4320, while the sum is 28.
The square root of 135114364 is about 11623.8704397460. The cubic root of 135114364 is about 513.1376021459.
Adding to 135114364 its reverse (463411531), we get a palindrome (598525895).
The spelling of 135114364 in words is "one hundred thirty-five million, one hundred fourteen thousand, three hundred sixty-four".
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