Base | Representation |
---|---|
bin | 111111111100110… |
… | …000111000011001 |
3 | 2202202211122011000 |
4 | 333330300320121 |
5 | 4144130042330 |
6 | 254243455213 |
7 | 35405305200 |
oct | 7774607031 |
9 | 2682748130 |
10 | 1072893465 |
11 | 500690816 |
12 | 25b387509 |
13 | 14137ca07 |
14 | a26c4237 |
15 | 642ce560 |
hex | 3ff30e19 |
1072893465 has 96 divisors (see below), whose sum is σ = 2257200000. Its totient is φ = 481977216.
The previous prime is 1072893461. The next prime is 1072893499. The reversal of 1072893465 is 5643982701.
1072893465 is a `hidden beast` number, since 107 + 2 + 89 + 3 + 465 = 666.
1072893465 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 1072893465 - 22 = 1072893461 is a prime.
It is a super-2 number, since 2×10728934652 = 2302200774479412450, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
1072893465 is strictly pandigital in base 10.
It is a self number, because there is not a number n which added to its sum of digits gives 1072893465.
It is not an unprimeable number, because it can be changed into a prime (1072893461) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 388911 + ... + 391659.
It is an arithmetic number, because the mean of its divisors is an integer number (23512500).
It is a 2-persistent number, because it is pandigital, and so is 2⋅1072893465 = 2145786930, but 3⋅1072893465 = 3218680395 is not.
Almost surely, 21072893465 is an apocalyptic number.
1072893465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
It is an amenable number.
1072893465 is an abundant number, since it is smaller than the sum of its proper divisors (1184306535).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1072893465 is a wasteful number, since it uses less digits than its factorization.
1072893465 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2836 (or 2823 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 1072893465 is about 32755.0525110249. The cubic root of 1072893465 is about 1023.7302428797.
The spelling of 1072893465 in words is "one billion, seventy-two million, eight hundred ninety-three thousand, four hundred sixty-five".
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