| Base | Representation |
|---|---|
| bin | 111110110001110… |
| … | …011111100010000 |
| 3 | 2201101212101210111 |
| 4 | 332301303330100 |
| 5 | 4124112321300 |
| 6 | 252302411104 |
| 7 | 35046302500 |
| oct | 7661637420 |
| 9 | 2641771714 |
| 10 | 1053245200 |
| 11 | 4a0590787 |
| 12 | 254890a94 |
| 13 | 13a290717 |
| 14 | 9dc4ba00 |
| 15 | 626ec9ba |
| hex | 3ec73f10 |
1053245200 has 360 divisors, whose sum is σ = 3253753800. Its totient is φ = 325140480.
The previous prime is 1053245161. The next prime is 1053245209. The reversal of 1053245200 is 25423501.
It can be written as a sum of positive squares in 12 ways, for example, as 76807696 + 976437504 = 8764^2 + 31248^2 .
It is a super-2 number, since 2×10532452002 = 2218650902646080000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1053245209) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9662746 + ... + 9662854.
It is an arithmetic number, because the mean of its divisors is an integer number (9038205).
Almost surely, 21053245200 is an apocalyptic number.
1053245200 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 1053245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626876900).
1053245200 is an abundant number, since it is smaller than the sum of its proper divisors (2200508600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1053245200 is a wasteful number, since it uses less digits than its factorization.
1053245200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 187 (or 169 counting only the distinct ones).
The product of its (nonzero) digits is 1200, while the sum is 22.
The square root of 1053245200 is about 32453.7393839292. The cubic root of 1053245200 is about 1017.4423940165.
Adding to 1053245200 its reverse (25423501), we get a palindrome (1078668701).
The spelling of 1053245200 in words is "one billion, fifty-three million, two hundred forty-five thousand, two hundred".
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