Base | Representation |
---|---|
bin | 11110001110110… |
… | …00111000000100 |
3 | 122200011222010121 |
4 | 33013120320010 |
5 | 1004410021030 |
6 | 41055231324 |
7 | 6166344301 |
oct | 1707307004 |
9 | 580158117 |
10 | 253595140 |
11 | 120169867 |
12 | 70b18544 |
13 | 40700bc6 |
14 | 259740a8 |
15 | 173e447a |
hex | f1d8e04 |
253595140 has 36 divisors (see below), whose sum is σ = 551583396. Its totient is φ = 97933696.
The previous prime is 253595131. The next prime is 253595183. The reversal of 253595140 is 41595352.
It can be written as a sum of positive squares in 6 ways, for example, as 30272004 + 223323136 = 5502^2 + 14944^2 .
It is a junction number, because it is equal to n+sod(n) for n = 253595096 and 253595105.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9282 + ... + 24358.
It is an arithmetic number, because the mean of its divisors is an integer number (15321761).
Almost surely, 2253595140 is an apocalyptic number.
253595140 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 253595140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275791698).
253595140 is an abundant number, since it is smaller than the sum of its proper divisors (297988256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
253595140 is a wasteful number, since it uses less digits than its factorization.
253595140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15144 (or 15113 counting only the distinct ones).
The product of its (nonzero) digits is 27000, while the sum is 34.
The square root of 253595140 is about 15924.6707972253. The cubic root of 253595140 is about 632.9658927422.
The spelling of 253595140 in words is "two hundred fifty-three million, five hundred ninety-five thousand, one hundred forty".
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