| Base | Representation |
|---|---|
| bin | 111111010000100… |
| … | …101010011000000 |
| 3 | 2201222001012221000 |
| 4 | 333100211103000 |
| 5 | 4133143433210 |
| 6 | 253151332000 |
| 7 | 35205000102 |
| oct | 7720452300 |
| 9 | 2658035830 |
| 10 | 1061311680 |
| 11 | 4a50a01a0 |
| 12 | 257521000 |
| 13 | 13bb561a0 |
| 14 | a0d4b572 |
| 15 | 63292ac0 |
| hex | 3f4254c0 |
1061311680 has 448 divisors, whose sum is σ = 4403750400. Its totient is φ = 237219840.
The previous prime is 1061311673. The next prime is 1061311687. The reversal of 1061311680 is 861131601.
It is an interprime number because it is at equal distance from previous prime (1061311673) and next prime (1061311687).
It is a super-2 number, since 2×10613116802 = 2252764964208844800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (1061311687) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235091 + ... + 1235949.
It is an arithmetic number, because the mean of its divisors is an integer number (9829800).
Almost surely, 21061311680 is an apocalyptic number.
1061311680 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 1061311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201875200).
1061311680 is an abundant number, since it is smaller than the sum of its proper divisors (3342438720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1061311680 is a wasteful number, since it uses less digits than its factorization.
1061311680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 909 (or 893 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 27.
The square root of 1061311680 is about 32577.7789298166. The cubic root of 1061311680 is about 1020.0332169113.
The spelling of 1061311680 in words is "one billion, sixty-one million, three hundred eleven thousand, six hundred eighty".
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