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104288760 = 23325436737
BaseRepresentation
bin1100011011101…
…01000111111000
321021020102021200
412031311013320
5203144220020
614203134200
72404303602
oct615650770
9237212250
10104288760
1153960764
122ab14360
13187b5934
14dbca172
159250590
hex63751f8

104288760 has 96 divisors (see below), whose sum is σ = 346872240. Its totient is φ = 27159552.

The previous prime is 104288747. The next prime is 104288773. The reversal of 104288760 is 67882401.

It is an interprime number because it is at equal distance from previous prime (104288747) and next prime (104288773).

It is a super-2 number, since 2×1042887602 = 21752290924675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12112 + ... + 18848.

Almost surely, 2104288760 is an apocalyptic number.

104288760 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 104288760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173436120).

104288760 is an abundant number, since it is smaller than the sum of its proper divisors (242583480).

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

104288760 is a wasteful number, since it uses less digits than its factorization.

104288760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6797 (or 6790 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 104288760 is about 10212.1868373038. The cubic root of 104288760 is about 470.7017734257.

The spelling of 104288760 in words is "one hundred four million, two hundred eighty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 6737 7740 13474 15480 20211 26948 33685 40422 53896 60633 67370 80844 101055 121266 134740 161688 202110 242532 269480 289691 303165 404220 485064 579382 606330 808440 869073 1158764 1212660 1448455 1738146 2317528 2425320 2607219 2896910 3476292 4345365 5214438 5793820 6952584 8690730 10428876 11587640 13036095 17381460 20857752 26072190 34762920 52144380 104288760