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114115232 = 25711291597
BaseRepresentation
bin1101100110101…
…00001010100000
321221201122200002
412303110022200
5213203141412
615153515132
72553651320
oct663241240
9257648602
10114115232
1159462510
1232272aa8
131a84650a
1411227280
15a041dc2
hex6cd42a0

114115232 has 96 divisors (see below), whose sum is σ = 289941120. Its totient is φ = 42900480.

The previous prime is 114115231. The next prime is 114115297. The reversal of 114115232 is 232511411.

It is not an unprimeable number, because it can be changed into a prime (114115231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70658 + ... + 72254.

It is an arithmetic number, because the mean of its divisors is an integer number (3020220).

Almost surely, 2114115232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114115232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144970560).

114115232 is an abundant number, since it is smaller than the sum of its proper divisors (175825888).

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

114115232 is a wasteful number, since it uses less digits than its factorization.

114115232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1646 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 114115232 is about 10682.4731218946. The cubic root of 114115232 is about 485.0440771930.

Adding to 114115232 its reverse (232511411), we get a palindrome (346626643).

The spelling of 114115232 in words is "one hundred fourteen million, one hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 154 176 203 224 232 308 319 352 406 464 616 638 812 928 1232 1276 1597 1624 2233 2464 2552 3194 3248 4466 5104 6388 6496 8932 10208 11179 12776 17567 17864 22358 25552 35134 35728 44716 46313 51104 70268 71456 89432 92626 122969 140536 178864 185252 245938 281072 324191 357728 370504 491876 509443 562144 648382 741008 983752 1018886 1296764 1482016 1967504 2037772 2593528 3566101 3935008 4075544 5187056 7132202 8151088 10374112 14264404 16302176 28528808 57057616 114115232