Base | Representation |
---|---|
bin | 1100011010111… |
… | …01110110000000 |
3 | 21021001120111010 |
4 | 12031131312000 |
5 | 203133142113 |
6 | 14201120520 |
7 | 2403425604 |
oct | 615356600 |
9 | 237046433 |
10 | 104193408 |
11 | 538a6060 |
12 | 2aa89140 |
13 | 18781407 |
14 | dba3504 |
15 | 92321c3 |
hex | 635dd80 |
104193408 has 128 divisors (see below), whose sum is σ = 319904640. Its totient is φ = 29696000.
The previous prime is 104193403. The next prime is 104193421. The reversal of 104193408 is 804391401.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (104193403) 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 15 ways as a sum of consecutive naturals, for example, 71083 + ... + 72533.
It is an arithmetic number, because the mean of its divisors is an integer number (2499255).
Almost surely, 2104193408 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 104193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159952320).
104193408 is an abundant number, since it is smaller than the sum of its proper divisors (215711232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104193408 is a wasteful number, since it uses less digits than its factorization.
104193408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1496 (or 1484 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 30.
The square root of 104193408 is about 10207.5172299634. The cubic root of 104193408 is about 470.5582742886.
It can be divided in two parts, 1041 and 93408, that added together give a palindrome (94449).
The spelling of 104193408 in words is "one hundred four million, one hundred ninety-three thousand, four hundred eight".
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