Base | Representation |
---|---|
bin | 1100011001110… |
… | …01111001000000 |
3 | 21020210002110220 |
4 | 12030321321000 |
5 | 203113434034 |
6 | 14154023040 |
7 | 2402243346 |
oct | 614717100 |
9 | 236702426 |
10 | 104046144 |
11 | 53805454 |
12 | 2aa17a80 |
13 | 1872c387 |
14 | db65996 |
15 | 9203749 |
hex | 6339e40 |
104046144 has 56 divisors (see below), whose sum is σ = 278648160. Its totient is φ = 34258944.
The previous prime is 104046139. The next prime is 104046149. The reversal of 104046144 is 441640401.
It is an interprime number because it is at equal distance from previous prime (104046139) and next prime (104046149).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (104046149) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12672 + ... + 19200.
It is an arithmetic number, because the mean of its divisors is an integer number (4975860).
Almost surely, 2104046144 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 104046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139324080).
104046144 is an abundant number, since it is smaller than the sum of its proper divisors (174602016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104046144 is an equidigital number, since it uses as much as digits as its factorization.
104046144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6627 (or 6617 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
The square root of 104046144 is about 10200.3011720243. The cubic root of 104046144 is about 470.3364785345.
Adding to 104046144 its reverse (441640401), we get a palindrome (545686545).
The spelling of 104046144 in words is "one hundred four million, forty-six thousand, one hundred forty-four".
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