Base | Representation |
---|---|
bin | 10111010111100… |
… | …01010010100000 |
3 | 111122212000122000 |
4 | 23223301102200 |
5 | 400140222311 |
6 | 31241244000 |
7 | 4600112646 |
oct | 1353612240 |
9 | 448760560 |
10 | 196023456 |
11 | a0717362 |
12 | 55793600 |
13 | 317c4315 |
14 | 1c069196 |
15 | 12321056 |
hex | baf14a0 |
196023456 has 96 divisors (see below), whose sum is σ = 601876800. Its totient is φ = 61896960.
The previous prime is 196023433. The next prime is 196023463. The reversal of 196023456 is 654320691.
It is a happy number.
196023456 is a `hidden beast` number, since 1 + 9 + 602 + 3 + 45 + 6 = 666.
196023456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
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 196023456.
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 15 ways as a sum of consecutive naturals, for example, 10446 + ... + 22386.
It is an arithmetic number, because the mean of its divisors is an integer number (6269550).
Almost surely, 2196023456 is an apocalyptic number.
196023456 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 196023456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300938400).
196023456 is an abundant number, since it is smaller than the sum of its proper divisors (405853344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
196023456 is a wasteful number, since it uses less digits than its factorization.
196023456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11979 (or 11965 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 196023456 is about 14000.8376892242. The cubic root of 196023456 is about 580.9017443501.
The spelling of 196023456 in words is "one hundred ninety-six million, twenty-three thousand, four hundred fifty-six".
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