Base | Representation |
---|---|
bin | 100000100110111… |
… | …1001110110000000 |
3 | 2211020212021121200 |
4 | 1001031321312000 |
5 | 4220101220330 |
6 | 300323421200 |
7 | 36054145020 |
oct | 10115716600 |
9 | 2736767550 |
10 | 1094163840 |
11 | 511699540 |
12 | 266524800 |
13 | 1458b9433 |
14 | a545da80 |
15 | 660d1a60 |
hex | 41379d80 |
1094163840 has 384 divisors, whose sum is σ = 4712497920. Its totient is φ = 227266560.
The previous prime is 1094163827. The next prime is 1094163871. The reversal of 1094163840 is 483614901.
1094163840 is a `hidden beast` number, since 10 + 9 + 4 + 1 + 638 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-3 number, since 3×10941638403 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1094163795 and 1094163804.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 442287 + ... + 444753.
It is an arithmetic number, because the mean of its divisors is an integer number (12272130).
Almost surely, 21094163840 is an apocalyptic number.
1094163840 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 1094163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356248960).
1094163840 is an abundant number, since it is smaller than the sum of its proper divisors (3618334080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1094163840 is a wasteful number, since it uses less digits than its factorization.
1094163840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2510 (or 2495 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 1094163840 is about 33078.1474692885. The cubic root of 1094163840 is about 1030.4512554394.
The spelling of 1094163840 in words is "one billion, ninety-four million, one hundred sixty-three thousand, eight hundred forty".
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