| Base | Representation |
|---|---|
| bin | 100111101101011… |
| … | …1001111101010000 |
| 3 | 10102212020122011112 |
| 4 | 1033122321331100 |
| 5 | 10212102000300 |
| 6 | 340115032452 |
| 7 | 45006444131 |
| oct | 11732717520 |
| 9 | 3385218145 |
| 10 | 1332453200 |
| 11 | 6241538a1 |
| 12 | 31229b728 |
| 13 | 18308b760 |
| 14 | c8d6bc88 |
| 15 | 7bea0e35 |
| hex | 4f6b9f50 |
1332453200 has 120 divisors (see below), whose sum is σ = 3650500728. Its totient is φ = 463011840.
The previous prime is 1332453193. The next prime is 1332453203. The reversal of 1332453200 is 23542331.
1332453200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 12 ways, for example, as 413878336 + 918574864 = 20344^2 + 30308^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1332453203) 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, 80864 + ... + 95936.
Almost surely, 21332453200 is an apocalyptic number.
1332453200 is a gapful number since it is divisible by the number (10) 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 1332453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825250364).
1332453200 is an abundant number, since it is smaller than the sum of its proper divisors (2318047528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1332453200 is a wasteful number, since it uses less digits than its factorization.
1332453200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15121 (or 15110 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 23.
The square root of 1332453200 is about 36502.7834555120. The cubic root of 1332453200 is about 1100.4001849718.
Adding to 1332453200 its reverse (23542331), we get a palindrome (1355995531).
It can be divided in two parts, 13 and 32453200, that multiplied together give a square (421891600 = 205402).
The spelling of 1332453200 in words is "one billion, three hundred thirty-two million, four hundred fifty-three thousand, two hundred".
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