Base | Representation |
---|---|
bin | 1100011001110… |
… | …01111000101000 |
3 | 21020210002110000 |
4 | 12030321320220 |
5 | 203113433440 |
6 | 14154023000 |
7 | 2402243313 |
oct | 614717050 |
9 | 236702400 |
10 | 104046120 |
11 | 53805432 |
12 | 2aa17a60 |
13 | 1872c369 |
14 | db6597a |
15 | 9203730 |
hex | 6339e28 |
104046120 has 160 divisors (see below), whose sum is σ = 370477800. Its totient is φ = 26099712.
The previous prime is 104046031. The next prime is 104046127. The reversal of 104046120 is 21640401.
Added to its reverse (21640401) it gives a square (125686521 = 112112).
104046120 is a `hidden beast` number, since 10 + 40 + 4 + 612 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 93431556 + 10614564 = 9666^2 + 3258^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 104046093 and 104046102.
It is not an unprimeable number, because it can be changed into a prime (104046127) by changing a digit.
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 39 ways as a sum of consecutive naturals, for example, 54136 + ... + 56024.
Almost surely, 2104046120 is an apocalyptic number.
104046120 is a gapful number since it is divisible by the number (10) 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 104046120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238900).
104046120 is an abundant number, since it is smaller than the sum of its proper divisors (266431680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104046120 is a wasteful number, since it uses less digits than its factorization.
104046120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1929 (or 1916 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 104046120 is about 10200.2999955884. The cubic root of 104046120 is about 470.3364423708.
Adding to 104046120 its reverse (21640401), we get a palindrome (125686521).
The spelling of 104046120 in words is "one hundred four million, forty-six thousand, one hundred twenty".
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