| Base | Representation |
|---|---|
| bin | 100101100101010… |
| … | …1010111110000000 |
| 3 | 10020212221221101200 |
| 4 | 1023022222332000 |
| 5 | 10040314314030 |
| 6 | 325045301200 |
| 7 | 43152035160 |
| oct | 11312527600 |
| 9 | 3225857350 |
| 10 | 1261088640 |
| 11 | 597940619 |
| 12 | 2b2404800 |
| 13 | 171362ac6 |
| 14 | bd6b25a0 |
| 15 | 75aa5d60 |
| hex | 4b2aaf80 |
1261088640 has 192 divisors, whose sum is σ = 4976955360. Its totient is φ = 288239616.
The previous prime is 1261088639. The next prime is 1261088641. The reversal of 1261088640 is 468801621.
1261088640 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 0 + 8 + 8 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (1261088639) and next prime (1261088641).
It is a tau number, because it is divible by the number of its divisors (192).
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 = 1261088595 and 1261088604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1261088641) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24682 + ... + 55958.
Almost surely, 21261088640 is an apocalyptic number.
1261088640 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 1261088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488477680).
1261088640 is an abundant number, since it is smaller than the sum of its proper divisors (3715866720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1261088640 is a wasteful number, since it uses less digits than its factorization.
1261088640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 31309 (or 31294 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 1261088640 is about 35511.8098665782. The cubic root of 1261088640 is about 1080.3932724138.
The spelling of 1261088640 in words is "one billion, two hundred sixty-one million, eighty-eight thousand, six hundred forty".
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