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115138008 = 233217109863
BaseRepresentation
bin1101101110011…
…01110111011000
322000122121122200
412313031313120
5213433404013
615231450200
72565441216
oct667156730
9260577580
10115138008
1159aa0987
1232686960
131ab13bcb
1411411cb6
15a194e73
hex6dcddd8

115138008 has 96 divisors (see below), whose sum is σ = 333590400. Its totient is φ = 35748864.

The previous prime is 115138003. The next prime is 115138021. The reversal of 115138008 is 800831511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115138003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 132985 + ... + 133847.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 2115138008 is an apocalyptic number.

115138008 is a gapful number since it is divisible by the number (18) 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 115138008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166795200).

115138008 is an abundant number, since it is smaller than the sum of its proper divisors (218452392).

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

115138008 is a wasteful number, since it uses less digits than its factorization.

115138008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 115138008 is about 10730.2380215911. The cubic root of 115138008 is about 486.4888643868.

Adding to 115138008 its reverse (800831511), we get a palindrome (915969519).

The spelling of 115138008 in words is "one hundred fifteen million, one hundred thirty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 109 136 153 204 218 306 327 408 436 612 654 863 872 981 1224 1308 1726 1853 1962 2589 2616 3452 3706 3924 5178 5559 6904 7412 7767 7848 10356 11118 14671 14824 15534 16677 20712 22236 29342 31068 33354 44013 44472 58684 62136 66708 88026 94067 117368 132039 133416 176052 188134 264078 282201 352104 376268 528156 564402 752536 846603 1056312 1128804 1599139 1693206 2257608 3198278 3386412 4797417 6396556 6772824 9594834 12793112 14392251 19189668 28784502 38379336 57569004 115138008