Base | Representation |
---|---|
bin | 10111011010101… |
… | …11111100100000 |
3 | 111200122101102100 |
4 | 23231113330200 |
5 | 400242201221 |
6 | 31254250400 |
7 | 4603513563 |
oct | 1355277440 |
9 | 450571370 |
10 | 196443936 |
11 | a0984267 |
12 | 55956a00 |
13 | 31910820 |
14 | 1c1384da |
15 | 123a5926 |
hex | bb57f20 |
196443936 has 144 divisors (see below), whose sum is σ = 610908480. Its totient is φ = 59512320.
The previous prime is 196443913. The next prime is 196443971. The reversal of 196443936 is 639344691.
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 196443891 and 196443900.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265455 + ... + 266193.
It is an arithmetic number, because the mean of its divisors is an integer number (4242420).
Almost surely, 2196443936 is an apocalyptic number.
196443936 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 196443936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305454240).
196443936 is an abundant number, since it is smaller than the sum of its proper divisors (414464544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
196443936 is a wasteful number, since it uses less digits than its factorization.
196443936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 839 (or 828 counting only the distinct ones).
The product of its digits is 419904, while the sum is 45.
The square root of 196443936 is about 14015.8458895637. The cubic root of 196443936 is about 581.3168020344.
The spelling of 196443936 in words is "one hundred ninety-six million, four hundred forty-three thousand, nine hundred thirty-six".
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