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104436672 = 2631274283
BaseRepresentation
bin1100011100110…
…01001111000000
321021111221011220
412032121033000
5203213433142
614210235040
72405461044
oct616311700
9237457156
10104436672
1153a518aa
122ab85a80
1318838062
14dc28024
15927e2ec
hex63993c0

104436672 has 56 divisors (see below), whose sum is σ = 278562816. Its totient is φ = 34530048.

The previous prime is 104436671. The next prime is 104436691. The reversal of 104436672 is 276634401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104436671) 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, 22243 + ... + 26525.

It is an arithmetic number, because the mean of its divisors is an integer number (4974336).

Almost surely, 2104436672 is an apocalyptic number.

104436672 is a gapful number since it is divisible by the number (12) 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 104436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139281408).

104436672 is an abundant number, since it is smaller than the sum of its proper divisors (174126144).

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

104436672 is a wasteful number, since it uses less digits than its factorization.

104436672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 104436672 is about 10219.4262069844. The cubic root of 104436672 is about 470.9241992864.

The spelling of 104436672 in words is "one hundred four million, four hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 4064 4283 6096 8128 8566 12192 12849 17132 24384 25698 34264 51396 68528 102792 137056 205584 274112 411168 543941 822336 1087882 1631823 2175764 3263646 4351528 6527292 8703056 13054584 17406112 26109168 34812224 52218336 104436672