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104874120 = 233251322409
BaseRepresentation
bin1100100000001…
…00000010001000
321022100011020200
412100010002020
5203321432440
614223452200
72412262311
oct620040210
9238304220
10104874120
115422052a
122b157060
131895c1c0
14dcdd608
159318c30
hex6404088

104874120 has 96 divisors (see below), whose sum is σ = 367075800. Its totient is φ = 25814016.

The previous prime is 104874113. The next prime is 104874127. The reversal of 104874120 is 21478401.

It is an interprime number because it is at equal distance from previous prime (104874113) and next prime (104874127).

It can be written as a sum of positive squares in 4 ways, for example, as 68657796 + 36216324 = 8286^2 + 6018^2 .

It is not an unprimeable number, because it can be changed into a prime (104874127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6525 + ... + 15884.

Almost surely, 2104874120 is an apocalyptic number.

104874120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104874120 is an abundant number, since it is smaller than the sum of its proper divisors (262201680).

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

104874120 is a wasteful number, since it uses less digits than its factorization.

104874120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22439 (or 22432 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 104874120 is about 10240.8066088566. The cubic root of 104874120 is about 471.5807946045.

The spelling of 104874120 in words is "one hundred four million, eight hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 22409 44818 67227 89636 112045 134454 179272 201681 224090 268908 291317 336135 403362 448180 537816 582634 672270 806724 873951 896360 1008405 1165268 1344540 1456585 1613448 1747902 2016810 2330536 2621853 2689080 2913170 3495804 4033620 4369755 5243706 5826340 6991608 8067240 8739510 10487412 11652680 13109265 17479020 20974824 26218530 34958040 52437060 104874120