Base | Representation |
---|---|
bin | 10001100011011… |
… | …00010000000000 |
3 | 101021001202211200 |
4 | 20301230100000 |
5 | 300143302112 |
6 | 22335541200 |
7 | 3435360615 |
oct | 1061542000 |
9 | 337052750 |
10 | 147244032 |
11 | 7612a691 |
12 | 4138a800 |
13 | 24675660 |
14 | 157ac50c |
15 | cdd7cdc |
hex | 8c6c400 |
147244032 has 132 divisors (see below), whose sum is σ = 458241420. Its totient is φ = 45268992.
The previous prime is 147243983. The next prime is 147244033. The reversal of 147244032 is 230442741.
It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 53231616 = 9696^2 + 7296^2 .
It is a junction number, because it is equal to n+sod(n) for n = 147243987 and 147244005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (147244033) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119194 + ... + 120422.
Almost surely, 2147244032 is an apocalyptic number.
147244032 is a gapful number since it is divisible by the number (12) 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 147244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229120710).
147244032 is an abundant number, since it is smaller than the sum of its proper divisors (310997388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
147244032 is a wasteful number, since it uses less digits than its factorization.
147244032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1268 (or 1247 counting only the distinct ones).
The product of its (nonzero) digits is 5376, while the sum is 27.
The square root of 147244032 is about 12134.4151898639. The cubic root of 147244032 is about 528.0550906705.
Adding to 147244032 its reverse (230442741), we get a palindrome (377686773).
The spelling of 147244032 in words is "one hundred forty-seven million, two hundred forty-four thousand, thirty-two".
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