Base | Representation |
---|---|
bin | 1111111010111… |
… | …10000100000000 |
3 | 100022022021020110 |
4 | 13331132010000 |
5 | 233142220212 |
6 | 21130311320 |
7 | 3211123344 |
oct | 775360400 |
9 | 308267213 |
10 | 133554432 |
11 | 6942a470 |
12 | 38888540 |
13 | 218915bb |
14 | 13a47624 |
15 | bad1a3c |
hex | 7f5e100 |
133554432 has 72 divisors (see below), whose sum is σ = 387787680. Its totient is φ = 40468480.
The previous prime is 133554427. The next prime is 133554457. The reversal of 133554432 is 234455331.
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 133554432.
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 7 ways as a sum of consecutive naturals, for example, 544 + ... + 16352.
It is an arithmetic number, because the mean of its divisors is an integer number (5385940).
Almost surely, 2133554432 is an apocalyptic number.
133554432 is a gapful number since it is divisible by the number (12) 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 133554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193893840).
133554432 is an abundant number, since it is smaller than the sum of its proper divisors (254233248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133554432 is a wasteful number, since it uses less digits than its factorization.
133554432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15839 (or 15825 counting only the distinct ones).
The product of its digits is 21600, while the sum is 30.
The square root of 133554432 is about 11556.5752712471. The cubic root of 133554432 is about 511.1551823092.
The spelling of 133554432 in words is "one hundred thirty-three million, five hundred fifty-four thousand, four hundred thirty-two".
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