| Base | Representation |
|---|---|
| bin | 111111111101000… |
| … | …011001011110011 |
| 3 | 2202202222102222200 |
| 4 | 333331003023303 |
| 5 | 4144134442220 |
| 6 | 254245234243 |
| 7 | 35406036600 |
| oct | 7775031363 |
| 9 | 2682872880 |
| 10 | 1072968435 |
| 11 | 500732080 |
| 12 | 25b402983 |
| 13 | 1413a7b86 |
| 14 | a27036a7 |
| 15 | 642e6890 |
| hex | 3ff432f3 |
1072968435 has 144 divisors (see below), whose sum is σ = 2437972992. Its totient is φ = 431222400.
The previous prime is 1072968367. The next prime is 1072968451. The reversal of 1072968435 is 5348692701.
1072968435 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 1072968435 - 28 = 1072968179 is a prime.
It is a super-2 number, since 2×10729684352 = 2302522525012698450, which contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
1072968435 is strictly pandigital in base 10.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 751192 + ... + 752618.
It is an arithmetic number, because the mean of its divisors is an integer number (16930368).
It is a 2-persistent number, because it is pandigital, and so is 2⋅1072968435 = 2145936870, but 3⋅1072968435 = 3218905305 is not.
Almost surely, 21072968435 is an apocalyptic number.
1072968435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
1072968435 is an abundant number, since it is smaller than the sum of its proper divisors (1365004557).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1072968435 is a wasteful number, since it uses less digits than its factorization.
1072968435 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1494 (or 1484 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 1072968435 is about 32756.1968946335. The cubic root of 1072968435 is about 1023.7540872070.
The spelling of 1072968435 in words is "one billion, seventy-two million, nine hundred sixty-eight thousand, four hundred thirty-five".
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