Base | Representation |
---|---|
bin | 1011001011100011… |
… | …0111110100010000 |
3 | 21202011101110022120 |
4 | 2302320313310100 |
5 | 22121310100021 |
6 | 1213451134240 |
7 | 134242142100 |
oct | 26270676420 |
9 | 7664343276 |
10 | 3001253136 |
11 | 13001469a2 |
12 | 6b9144380 |
13 | 38aa32a3b |
14 | 206851200 |
15 | 1287402c6 |
hex | b2e37d10 |
3001253136 has 120 divisors (see below), whose sum is σ = 9239346144. Its totient is φ = 836559360.
The previous prime is 3001253119. The next prime is 3001253147. The reversal of 3001253136 is 6313521003.
It is a happy number.
3001253136 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 (24).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80871 + ... + 111993.
Almost surely, 23001253136 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3001253136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619673072).
3001253136 is an abundant number, since it is smaller than the sum of its proper divisors (6238093008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3001253136 is a wasteful number, since it uses less digits than its factorization.
3001253136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 31189 (or 31176 counting only the distinct ones).
The product of its (nonzero) digits is 1620, while the sum is 24.
The square root of 3001253136 is about 54783.6940704075. The cubic root of 3001253136 is about 1442.4503573371.
Adding to 3001253136 its reverse (6313521003), we get a palindrome (9314774139).
It can be divided in two parts, 300125 and 3136, that multiplied together give a cube (941192000 = 9803).
The spelling of 3001253136 in words is "three billion, one million, two hundred fifty-three thousand, one hundred thirty-six".
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