Base | Representation |
---|---|
bin | 1110010010001… |
… | …00011011010000 |
3 | 22100110101022100 |
4 | 13021010123100 |
5 | 221133133221 |
6 | 15520040400 |
7 | 2653302300 |
oct | 711043320 |
9 | 270411270 |
10 | 119817936 |
11 | 616a7a97 |
12 | 34163100 |
13 | 1ba920b4 |
14 | 11cad600 |
15 | a7bb926 |
hex | 72446d0 |
119817936 has 90 divisors (see below), whose sum is σ = 390093522. Its totient is φ = 34231680.
The previous prime is 119817931. The next prime is 119817959. The reversal of 119817936 is 639718911.
It can be written as a sum of positive squares in only one way, i.e., 119246400 + 571536 = 10920^2 + 756^2 .
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 = 119817891 and 119817900.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (119817931) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1435 + ... + 15546.
Almost surely, 2119817936 is an apocalyptic number.
119817936 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 119817936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195046761).
119817936 is an abundant number, since it is smaller than the sum of its proper divisors (270275586).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
119817936 is a wasteful number, since it uses less digits than its factorization.
119817936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17009 (or 16993 counting only the distinct ones).
The product of its digits is 81648, while the sum is 45.
The square root of 119817936 is about 10946.1379490668. The cubic root of 119817936 is about 492.9928394743.
The spelling of 119817936 in words is "one hundred nineteen million, eight hundred seventeen thousand, nine hundred thirty-six".
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