Base | Representation |
---|---|
bin | 101011011111… |
… | …001111010000 |
3 | 210110012001120 |
4 | 223133033100 |
5 | 10404301034 |
6 | 1044202240 |
7 | 165620400 |
oct | 53371720 |
9 | 23405046 |
10 | 11400144 |
11 | 6487108 |
12 | 3999380 |
13 | 2491c62 |
14 | 172a800 |
15 | 1002c49 |
hex | adf3d0 |
11400144 has 120 divisors (see below), whose sum is σ = 35453088. Its totient is φ = 3144960.
The previous prime is 11400131. The next prime is 11400199. The reversal of 11400144 is 44100411.
It is a congruent number.
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, 86959 + ... + 87089.
Almost surely, 211400144 is an apocalyptic number.
11400144 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 11400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17726544).
11400144 is an abundant number, since it is smaller than the sum of its proper divisors (24052944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11400144 is a wasteful number, since it uses less digits than its factorization.
11400144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 193 (or 180 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
The square root of 11400144 is about 3376.4099277191. The cubic root of 11400144 is about 225.0626590920.
Adding to 11400144 its reverse (44100411), we get a palindrome (55500555).
The spelling of 11400144 in words is "eleven million, four hundred thousand, one hundred forty-four".
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