Base | Representation |
---|---|
bin | 1011011101010… |
… | …10100101100000 |
3 | 20200212100200000 |
4 | 11232222211200 |
5 | 144101303021 |
6 | 13312100000 |
7 | 2244666501 |
oct | 556524540 |
9 | 220770600 |
10 | 96119136 |
11 | 4a290803 |
12 | 28234600 |
13 | 16bb5239 |
14 | caa0ba8 |
15 | 8689b26 |
hex | 5baa960 |
96119136 has 144 divisors (see below), whose sum is σ = 290594304. Its totient is φ = 31238784.
The previous prime is 96119131. The next prime is 96119159. The reversal of 96119136 is 63191169.
96119136 is a `hidden beast` number, since 9 + 611 + 9 + 1 + 36 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 96119136.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (96119131) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 365341 + ... + 365603.
It is an arithmetic number, because the mean of its divisors is an integer number (2018016).
Almost surely, 296119136 is an apocalyptic number.
96119136 is a gapful number since it is divisible by the number (96) 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 96119136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145297152).
96119136 is an abundant number, since it is smaller than the sum of its proper divisors (194475168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
96119136 is a wasteful number, since it uses less digits than its factorization.
96119136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 335 (or 315 counting only the distinct ones).
The product of its digits is 8748, while the sum is 36.
The square root of 96119136 is about 9804.0367196375. The cubic root of 96119136 is about 458.0750307719.
The spelling of 96119136 in words is "ninety-six million, one hundred nineteen thousand, one hundred thirty-six".
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