| Base | Representation |
|---|---|
| bin | 100101010110100… |
| … | …0010010101000000 |
| 3 | 10020100100020211021 |
| 4 | 1022231002111000 |
| 5 | 10031322220000 |
| 6 | 324210555224 |
| 7 | 43026021112 |
| oct | 11255022500 |
| 9 | 3210306737 |
| 10 | 1253320000 |
| 11 | 593514959 |
| 12 | 2ab898b14 |
| 13 | 16c872a8a |
| 14 | bc64d3b2 |
| 15 | 7506e11a |
| hex | 4ab42540 |
1253320000 has 70 divisors (see below), whose sum is σ = 3107925458. Its totient is φ = 501312000.
The previous prime is 1253319989. The next prime is 1253320007. The reversal of 1253320000 is 233521.
It can be written as a sum of positive squares in 5 ways, for example, as 106007616 + 1147312384 = 10296^2 + 33872^2 .
It is a super-2 number, since 2×12533200002 = 3141622044800000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1253320007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 24334 + ... + 55666.
Almost surely, 21253320000 is an apocalyptic number.
1253320000 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 1253320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553962729).
1253320000 is an abundant number, since it is smaller than the sum of its proper divisors (1854605458).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1253320000 is an frugal number, since it uses more digits than its factorization.
1253320000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31365 (or 31340 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 16.
The square root of 1253320000 is about 35402.2598148762. The cubic root of 1253320000 is about 1078.1701983432.
Adding to 1253320000 its reverse (233521), we get a palindrome (1253553521).
The spelling of 1253320000 in words is "one billion, two hundred fifty-three million, three hundred twenty thousand".
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