| Base | Representation |
|---|---|
| bin | 100001101100000… |
| … | …1010010100100000 |
| 3 | 2220210001122011100 |
| 4 | 1003120022110200 |
| 5 | 4303341012300 |
| 6 | 304100314400 |
| 7 | 40004205546 |
| oct | 10330122440 |
| 9 | 2823048140 |
| 10 | 1130407200 |
| 11 | 5300a372a |
| 12 | 2766a2a00 |
| 13 | 150269100 |
| 14 | aa1b5d96 |
| 15 | 69390700 |
| hex | 4360a520 |
1130407200 has 324 divisors, whose sum is σ = 4320953910. Its totient is φ = 277954560.
The previous prime is 1130407193. The next prime is 1130407207. The reversal of 1130407200 is 27040311.
It is an interprime number because it is at equal distance from previous prime (1130407193) and next prime (1130407207).
It can be written as a sum of positive squares in 9 ways, for example, as 225360144 + 905047056 = 15012^2 + 30084^2 .
It is a super-3 number, since 3×11304072003 (a number of 28 digits) contains 333 as substring.
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 (1130407207) by changing a digit.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1216336 + ... + 1217264.
Almost surely, 21130407200 is an apocalyptic number.
1130407200 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 1130407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160476955).
1130407200 is an abundant number, since it is smaller than the sum of its proper divisors (3190546710).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1130407200 is a wasteful number, since it uses less digits than its factorization.
1130407200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 981 (or 952 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 1130407200 is about 33621.5288171136. The cubic root of 1130407200 is about 1041.7055348341.
Adding to 1130407200 its reverse (27040311), we get a palindrome (1157447511).
The spelling of 1130407200 in words is "one billion, one hundred thirty million, four hundred seven thousand, two hundred".
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