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115131468 = 223234389109
BaseRepresentation
bin1101101110011…
…00010001001100
322000122021200110
412313030101030
5213433201333
615231400020
72565413154
oct667142114
9260567613
10115131468
1159a96a81
1232683010
131ab10c3a
141140d764
15a193063
hex6dcc44c

115131468 has 96 divisors (see below), whose sum is σ = 292723200. Its totient is φ = 35126784.

The previous prime is 115131451. The next prime is 115131473. The reversal of 115131468 is 864131511.

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 31 ways as a sum of consecutive naturals, for example, 1056198 + ... + 1056306.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 2115131468 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 115131468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

115131468 is an abundant number, since it is smaller than the sum of its proper divisors (177591732).

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

115131468 is a wasteful number, since it uses less digits than its factorization.

115131468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 115131468 is about 10729.9332709947. The cubic root of 115131468 is about 486.4796531296.

Adding to 115131468 its reverse (864131511), we get a palindrome (979262979).

The spelling of 115131468 in words is "one hundred fifteen million, one hundred thirty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 89 92 109 129 138 172 178 218 258 267 276 327 356 436 516 534 654 989 1068 1308 1978 2047 2507 2967 3827 3956 4094 4687 5014 5934 6141 7521 7654 8188 9374 9701 10028 11481 11868 12282 14061 15042 15308 18748 19402 22962 24564 28122 29103 30084 38804 45924 56244 58206 88021 107801 116412 176042 215602 223123 264063 323403 352084 417143 431204 446246 528126 646806 669369 834286 892492 1056252 1251429 1293612 1338738 1668572 2502858 2677476 5005716 9594289 19188578 28782867 38377156 57565734 115131468