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104285688 = 23313794231
BaseRepresentation
bin1100011011101…
…00010111111000
321021020021001220
412031310113320
5203144120223
614203112040
72404261623
oct615642770
9237207056
10104285688
1153959421
122ab12620
13187b4410
14dbc8dba
15924e6e3
hex63745f8

104285688 has 64 divisors (see below), whose sum is σ = 284390400. Its totient is φ = 31674240.

The previous prime is 104285681. The next prime is 104285729. The reversal of 104285688 is 886582401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104285681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22533 + ... + 26763.

It is an arithmetic number, because the mean of its divisors is an integer number (4443600).

Almost surely, 2104285688 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 104285688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142195200).

104285688 is an abundant number, since it is smaller than the sum of its proper divisors (180104712).

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

104285688 is a wasteful number, since it uses less digits than its factorization.

104285688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 104285688 is about 10212.0364276671. The cubic root of 104285688 is about 470.6971516108.

The spelling of 104285688 in words is "one hundred four million, two hundred eighty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 474 632 948 1027 1896 2054 3081 4108 4231 6162 8216 8462 12324 12693 16924 24648 25386 33848 50772 55003 101544 110006 165009 220012 330018 334249 440024 660036 668498 1002747 1320072 1336996 2005494 2673992 4010988 4345237 8021976 8690474 13035711 17380948 26071422 34761896 52142844 104285688