Base | Representation |
---|---|
bin | 100010000000000… |
… | …0111101110100000 |
3 | 2221111202211100100 |
4 | 1010000013232200 |
5 | 4314031213321 |
6 | 305113022400 |
7 | 40162224366 |
oct | 10400075640 |
9 | 2844684310 |
10 | 1140882336 |
11 | 535aa8870 |
12 | 27a0b4a00 |
13 | 152496009 |
14 | ab741636 |
15 | 6a25e326 |
hex | 44007ba0 |
1140882336 has 144 divisors (see below), whose sum is σ = 3653814528. Its totient is φ = 334540800.
The previous prime is 1140882331. The next prime is 1140882343. The reversal of 1140882336 is 6332880411.
1140882336 is a `hidden beast` number, since 11 + 408 + 8 + 233 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×11408823362 = 2603225009193633792, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1140882336.
It is not an unprimeable number, because it can be changed into a prime (1140882331) 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, 92400 + ... + 104016.
It is an arithmetic number, because the mean of its divisors is an integer number (25373712).
Almost surely, 21140882336 is an apocalyptic number.
1140882336 is a gapful number since it is divisible by the number (16) 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 1140882336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826907264).
1140882336 is an abundant number, since it is smaller than the sum of its proper divisors (2512932192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1140882336 is a wasteful number, since it uses less digits than its factorization.
1140882336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11675 (or 11664 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 1140882336 is about 33776.9497734772. The cubic root of 1140882336 is about 1044.9133681226.
The spelling of 1140882336 in words is "one billion, one hundred forty million, eight hundred eighty-two thousand, three hundred thirty-six".
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