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116744100 = 2235211172081
BaseRepresentation
bin1101111010101…
…01111110100100
322010200012210120
412331111332210
5214341302400
615330121540
72615210544
oct675257644
9263605716
10116744100
115a998630
12331202b0
131b256c65
141170d324
15a3b0ca0
hex6f55fa4

116744100 has 144 divisors (see below), whose sum is σ = 390350016. Its totient is φ = 26624000.

The previous prime is 116744087. The next prime is 116744129. The reversal of 116744100 is 1447611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55060 + ... + 57140.

It is an arithmetic number, because the mean of its divisors is an integer number (2710764).

Almost surely, 2116744100 is an apocalyptic number.

116744100 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 116744100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195175008).

116744100 is an abundant number, since it is smaller than the sum of its proper divisors (273605916).

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

116744100 is a wasteful number, since it uses less digits than its factorization.

116744100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2119 counting only the distinct ones).

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

The square root of 116744100 is about 10804.8183695979. The cubic root of 116744100 is about 488.7404831536.

The spelling of 116744100 in words is "one hundred sixteen million, seven hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2081 2244 2550 2805 3300 3740 4162 4675 5100 5610 6243 8324 9350 10405 11220 12486 14025 18700 20810 22891 24972 28050 31215 35377 41620 45782 52025 56100 62430 68673 70754 91564 104050 106131 114455 124860 137346 141508 156075 176885 208100 212262 228910 274692 312150 343365 353770 389147 424524 457820 530655 572275 624300 686730 707540 778294 884425 1061310 1144550 1167441 1373460 1556588 1716825 1768850 1945735 2122620 2289100 2334882 2653275 3433650 3537700 3891470 4669764 5306550 5837205 6867300 7782940 9728675 10613100 11674410 19457350 23348820 29186025 38914700 58372050 116744100