Search a number
-
+
104104000 = 2653711132
BaseRepresentation
bin1100011010010…
…00000001000000
321020220000211201
412031020001000
5203122312000
614155150544
72402604130
oct615100100
9236800751
10104104000
1153844970
122aa45454
131874c800
14db7cac0
15921596a
hex6348040

104104000 has 336 divisors, whose sum is σ = 348057216. Its totient is φ = 29952000.

The previous prime is 104103991. The next prime is 104104001. The reversal of 104104000 is 401401.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (104104001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8007994 + ... + 8008006.

Almost surely, 2104104000 is an apocalyptic number.

104104000 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 104104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174028608).

104104000 is an abundant number, since it is smaller than the sum of its proper divisors (243953216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104104000 is a wasteful number, since it uses less digits than its factorization.

104104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 104104000 is about 10203.1367725813. The cubic root of 104104000 is about 470.4236409671.

Adding to 104104000 its reverse (401401), we get a palindrome (104505401).

The spelling of 104104000 in words is "one hundred four million, one hundred four thousand".