| Base | Representation |
|---|---|
| bin | 111111110011111… |
| … | …000111010000000 |
| 3 | 2202121110102220010 |
| 4 | 333303320322000 |
| 5 | 4143031121130 |
| 6 | 254121544520 |
| 7 | 35346445464 |
| oct | 7763707200 |
| 9 | 2677412803 |
| 10 | 1070567040 |
| 11 | 4aa341954 |
| 12 | 25a645140 |
| 13 | 140a46b2a |
| 14 | a227a4a4 |
| 15 | 63ec00b0 |
| hex | 3fcf8e80 |
1070567040 has 128 divisors (see below), whose sum is σ = 3428179200. Its totient is φ = 284168192.
The previous prime is 1070566997. The next prime is 1070567053. The reversal of 1070567040 is 407650701.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×10705670402 = 2292227574268723200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 1070566989 and 1070567007.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457714 + ... + 460046.
It is an arithmetic number, because the mean of its divisors is an integer number (26782650).
Almost surely, 21070567040 is an apocalyptic number.
1070567040 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 1070567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714089600).
1070567040 is an abundant number, since it is smaller than the sum of its proper divisors (2357612160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1070567040 is a wasteful number, since it uses less digits than its factorization.
1070567040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2594 (or 2582 counting only the distinct ones).
The product of its (nonzero) digits is 5880, while the sum is 30.
The square root of 1070567040 is about 32719.5207788867. The cubic root of 1070567040 is about 1022.9897670231.
The spelling of 1070567040 in words is "one billion, seventy million, five hundred sixty-seven thousand, forty".
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