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104435144 = 23111577559
BaseRepresentation
bin1100011100110…
…00110111001000
321021111212002022
412032120313020
5203213411034
614210224012
72405453432
oct616306710
9237455068
10104435144
1153a50740
122ab85008
1318837458
14dc27652
15927db2e
hex6398dc8

104435144 has 32 divisors (see below), whose sum is σ = 215006400. Its totient is φ = 47161920.

The previous prime is 104435141. The next prime is 104435183. The reversal of 104435144 is 441534401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (104435141) 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 7 ways as a sum of consecutive naturals, for example, 10037 + ... + 17595.

It is an arithmetic number, because the mean of its divisors is an integer number (6718950).

Almost surely, 2104435144 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 104435144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107503200).

104435144 is an abundant number, since it is smaller than the sum of its proper divisors (110571256).

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

104435144 is a wasteful number, since it uses less digits than its factorization.

104435144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7733 (or 7729 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 104435144 is about 10219.3514471321. The cubic root of 104435144 is about 470.9219025974.

Adding to 104435144 its reverse (441534401), we get a palindrome (545969545).

The spelling of 104435144 in words is "one hundred four million, four hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 157 314 628 1256 1727 3454 6908 7559 13816 15118 30236 60472 83149 166298 332596 665192 1186763 2373526 4747052 9494104 13054393 26108786 52217572 104435144