Base | Representation |
---|---|
bin | 1110001111011… |
… | …10100010100000 |
3 | 22022210111202000 |
4 | 13013232202200 |
5 | 221040404034 |
6 | 15504324000 |
7 | 2650305540 |
oct | 707564240 |
9 | 268714660 |
10 | 119466144 |
11 | 61487756 |
12 | 34013600 |
13 | 1b99ac35 |
14 | 11c1b320 |
15 | a74c599 |
hex | 71ee8a0 |
119466144 has 96 divisors (see below), whose sum is σ = 398240640. Its totient is φ = 34131456.
The previous prime is 119466131. The next prime is 119466161. The reversal of 119466144 is 441664911.
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 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 = 119466099 and 119466108.
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, 3829 + ... + 15924.
It is an arithmetic number, because the mean of its divisors is an integer number (4148340).
Almost surely, 2119466144 is an apocalyptic number.
119466144 is a gapful number since it is divisible by the number (14) 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 119466144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199120320).
119466144 is an abundant number, since it is smaller than the sum of its proper divisors (278774496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
119466144 is a wasteful number, since it uses less digits than its factorization.
119466144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19779 (or 19765 counting only the distinct ones).
The product of its digits is 20736, while the sum is 36.
The square root of 119466144 is about 10930.0569074456. The cubic root of 119466144 is about 492.5098818737.
The spelling of 119466144 in words is "one hundred nineteen million, four hundred sixty-six thousand, one hundred forty-four".
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