| Base | Representation |
|---|---|
| bin | 100010010000000… |
| … | …1011101010000000 |
| 3 | 2222002120211102200 |
| 4 | 1010200023222000 |
| 5 | 4323204141130 |
| 6 | 310013113200 |
| 7 | 40323531036 |
| oct | 10440135200 |
| 9 | 2862524380 |
| 10 | 1149287040 |
| 11 | 53a819400 |
| 12 | 280a88800 |
| 13 | 154149705 |
| 14 | ac8cc556 |
| 15 | 6ad6e760 |
| hex | 4480ba80 |
1149287040 has 576 divisors, whose sum is σ = 4666432680. Its totient is φ = 259522560.
The previous prime is 1149287039. The next prime is 1149287047. The reversal of 1149287040 is 407829411.
It can be written as a sum of positive squares in 4 ways, for example, as 1020419136 + 128867904 = 31944^2 + 11352^2 .
It is a tau number, because it is divible by the number of its divisors (576).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1149286986 and 1149287004.
It is not an unprimeable number, because it can be changed into a prime (1149287047) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11848272 + ... + 11848368.
Almost surely, 21149287040 is an apocalyptic number.
1149287040 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 1149287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333216340).
1149287040 is an abundant number, since it is smaller than the sum of its proper divisors (3517145640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1149287040 is a wasteful number, since it uses less digits than its factorization.
1149287040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 161 (or 135 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 36.
The square root of 1149287040 is about 33901.1362641431. The cubic root of 1149287040 is about 1047.4729980527.
The spelling of 1149287040 in words is "one billion, one hundred forty-nine million, two hundred eighty-seven thousand, forty".
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