| Base | Representation |
|---|---|
| bin | 101101000110000… |
| … | …0100001101010000 |
| 3 | 10220110012002000000 |
| 4 | 1122030010031100 |
| 5 | 11044324044100 |
| 6 | 410051130000 |
| 7 | 52332146262 |
| oct | 13214041520 |
| 9 | 3813162000 |
| 10 | 1513112400 |
| 11 | 707126818 |
| 12 | 3628a3900 |
| 13 | 1b16336a7 |
| 14 | 104d57b32 |
| 15 | 8cc89900 |
| hex | 5a304350 |
1513112400 has 210 divisors, whose sum is σ = 5451435870. Its totient is φ = 403418880.
The previous prime is 1513112383. The next prime is 1513112401. The reversal of 1513112400 is 42113151.
1513112400 is a `hidden beast` number, since 1 + 513 + 112 + 40 + 0 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 235192896 + 1277919504 = 15336^2 + 35748^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1513112401) 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 41 ways as a sum of consecutive naturals, for example, 289006 + ... + 294194.
Almost surely, 21513112400 is an apocalyptic number.
1513112400 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 1513112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725717935).
1513112400 is an abundant number, since it is smaller than the sum of its proper divisors (3938323470).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1513112400 is an equidigital number, since it uses as much as digits as its factorization.
1513112400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5225 (or 5199 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 18.
The square root of 1513112400 is about 38898.7454810563. The cubic root of 1513112400 is about 1148.0401148232.
Adding to 1513112400 its reverse (42113151), we get a palindrome (1555225551).
The spelling of 1513112400 in words is "one billion, five hundred thirteen million, one hundred twelve thousand, four hundred".
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