Base | Representation |
---|---|
bin | 101011101011001101000 |
3 | 2200201011100 |
4 | 11131121220 |
5 | 331244034 |
6 | 50401400 |
7 | 15110301 |
oct | 5353150 |
9 | 2621140 |
10 | 1431144 |
11 | 898270 |
12 | 590260 |
13 | 3b1540 |
14 | 2937a8 |
15 | 1d4099 |
hex | 15d668 |
1431144 has 96 divisors (see below), whose sum is σ = 4586400. Its totient is φ = 397440.
The previous prime is 1431139. The next prime is 1431149. The reversal of 1431144 is 4411341.
1431144 = T312 + T313 + ... + T338.
It is an interprime number because it is at equal distance from previous prime (1431139) and next prime (1431149).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1431149) 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 23 ways as a sum of consecutive naturals, for example, 10227 + ... + 10365.
It is an arithmetic number, because the mean of its divisors is an integer number (47775).
21431144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293200).
1431144 is an abundant number, since it is smaller than the sum of its proper divisors (3155256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1431144 is a wasteful number, since it uses less digits than its factorization.
1431144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 175 (or 168 counting only the distinct ones).
The product of its digits is 192, while the sum is 18.
The square root of 1431144 is about 1196.3043091120. The cubic root of 1431144 is about 112.6923524100.
Adding to 1431144 its reverse (4411341), we get a palindrome (5842485).
The spelling of 1431144 in words is "one million, four hundred thirty-one thousand, one hundred forty-four".
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