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104271216 = 24372431031
BaseRepresentation
bin1100011011100…
…00110101110000
321021012112012220
412031300311300
5203143134331
614202521040
72404201500
oct615606560
9237175186
10104271216
1153949565
122ab06180
13187aa95a
14dbc3a00
15924a296
hex6370d70

104271216 has 120 divisors (see below), whose sum is σ = 320943744. Its totient is φ = 29070720.

The previous prime is 104271203. The next prime is 104271227. The reversal of 104271216 is 612172401.

It is a super-2 number, since 2×1042712162 = 21744972972237312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 100621 + ... + 101651.

Almost surely, 2104271216 is an apocalyptic number.

104271216 is a gapful number since it is divisible by the number (16) 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 104271216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160471872).

104271216 is an abundant number, since it is smaller than the sum of its proper divisors (216672528).

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

104271216 is a wasteful number, since it uses less digits than its factorization.

104271216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 104271216 is about 10211.3278274669. The cubic root of 104271216 is about 470.6753773084.

The spelling of 104271216 in words is "one hundred four million, two hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 49 56 84 86 98 112 129 147 168 172 196 258 294 301 336 344 392 516 588 602 688 784 903 1031 1032 1176 1204 1806 2062 2064 2107 2352 2408 3093 3612 4124 4214 4816 6186 6321 7217 7224 8248 8428 12372 12642 14434 14448 16496 16856 21651 24744 25284 28868 33712 43302 44333 49488 50519 50568 57736 86604 88666 101038 101136 115472 132999 151557 173208 177332 202076 265998 303114 310331 346416 354664 404152 531996 606228 620662 709328 808304 930993 1063992 1212456 1241324 1861986 2127984 2172317 2424912 2482648 3723972 4344634 4965296 6516951 7447944 8689268 13033902 14895888 17378536 26067804 34757072 52135608 104271216