Base | Representation |
---|---|
bin | 1100011001110… |
… | …00011011010000 |
3 | 21020202210020200 |
4 | 12030320123100 |
5 | 203113241034 |
6 | 14153535200 |
7 | 2402220015 |
oct | 614703320 |
9 | 236683220 |
10 | 104040144 |
11 | 5380099a |
12 | 2aa14500 |
13 | 18729720 |
14 | db6370c |
15 | 9201a99 |
hex | 63386d0 |
104040144 has 120 divisors (see below), whose sum is σ = 316516200. Its totient is φ = 31712256.
The previous prime is 104040127. The next prime is 104040161. The reversal of 104040144 is 441040401.
It is an interprime number because it is at equal distance from previous prime (104040127) and next prime (104040161).
It can be written as a sum of positive squares in 4 ways, for example, as 144 + 104040000 = 12^2 + 10200^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
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, 278742 + ... + 279114.
It is an arithmetic number, because the mean of its divisors is an integer number (2637635).
Almost surely, 2104040144 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 104040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158258100).
104040144 is an abundant number, since it is smaller than the sum of its proper divisors (212476056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104040144 is a wasteful number, since it uses less digits than its factorization.
104040144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 549 (or 540 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 104040144 is about 10200.0070588211. The cubic root of 104040144 is about 470.3274374398.
Adding to 104040144 its reverse (441040401), we get a palindrome (545080545).
The spelling of 104040144 in words is "one hundred four million, forty thousand, one hundred forty-four".
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