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114073146 = 232112337677
BaseRepresentation
bin1101100110010…
…01111000111010
321221122111221100
412303021320322
5213200320041
615152552230
72553414525
oct663117072
9257574840
10114073146
1159433930
1232252676
131a830305
1411215bbc
15a0346b6
hex6cc9e3a

114073146 has 96 divisors (see below), whose sum is σ = 289381248. Its totient is φ = 32123520.

The previous prime is 114073129. The next prime is 114073159. The reversal of 114073146 is 641370411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168160 + ... + 168836.

It is an arithmetic number, because the mean of its divisors is an integer number (3014388).

Almost surely, 2114073146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114073146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144690624).

114073146 is an abundant number, since it is smaller than the sum of its proper divisors (175308102).

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

114073146 is a wasteful number, since it uses less digits than its factorization.

114073146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 114073146 is about 10680.5030780390. The cubic root of 114073146 is about 484.9844413473.

The spelling of 114073146 in words is "one hundred fourteen million, seventy-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 37 46 66 69 74 99 111 138 198 207 222 253 333 407 414 506 666 677 759 814 851 1221 1354 1518 1702 2031 2277 2442 2553 3663 4062 4554 5106 6093 7326 7447 7659 9361 12186 14894 15318 15571 18722 22341 25049 28083 31142 44682 46713 50098 56166 67023 75147 84249 93426 134046 140139 150294 168498 171281 225441 275539 280278 342562 450882 513843 551078 576127 826617 1027686 1152254 1541529 1653234 1728381 2479851 3083058 3456762 4959702 5185143 6337397 10370286 12674794 19012191 38024382 57036573 114073146