| Base | Representation |
|---|---|
| bin | 101000100101000… |
| … | …1111101100100000 |
| 3 | 10111220011111020102 |
| 4 | 1101022033230200 |
| 5 | 10242034441344 |
| 6 | 343040401532 |
| 7 | 45512515400 |
| oct | 12112175440 |
| 9 | 3456144212 |
| 10 | 1361640224 |
| 11 | 6396794aa |
| 12 | 3200162a8 |
| 13 | 18913a699 |
| 14 | ccba8800 |
| 15 | 7e818e4e |
| hex | 5128fb20 |
1361640224 has 72 divisors (see below), whose sum is σ = 3149048448. Its totient is φ = 577825920.
The previous prime is 1361640221. The next prime is 1361640251. The reversal of 1361640224 is 4220461631.
It is a super-2 number, since 2×13616402242 = 3708128199229540352, which contains 22 as substring.
It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.
It is a nialpdrome in base 14.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1361640221) by changing a digit.
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, 157289 + ... + 165719.
It is an arithmetic number, because the mean of its divisors is an integer number (43736784).
Almost surely, 21361640224 is an apocalyptic number.
1361640224 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 1361640224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574524224).
1361640224 is an abundant number, since it is smaller than the sum of its proper divisors (1787408224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1361640224 is a wasteful number, since it uses less digits than its factorization.
1361640224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8558 (or 8543 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 29.
The square root of 1361640224 is about 36900.4095370228. The cubic root of 1361640224 is about 1108.3768783138.
The spelling of 1361640224 in words is "one billion, three hundred sixty-one million, six hundred forty thousand, two hundred twenty-four".
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