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115304064 = 2731721039
BaseRepresentation
bin1101101111101…
…10011010000000
322000222001102220
412313312122000
5214004212224
615235211040
72600032311
oct667663200
9260861386
10115304064
115a0a4717
1232746a80
131ab71675
1411456608
15a1c9279
hex6df6680

115304064 has 96 divisors (see below), whose sum is σ = 325665600. Its totient is φ = 36139008.

The previous prime is 115304051. The next prime is 115304069. The reversal of 115304064 is 460403511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (115304069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110457 + ... + 111495.

It is an arithmetic number, because the mean of its divisors is an integer number (3392350).

Almost surely, 2115304064 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 115304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162832800).

115304064 is an abundant number, since it is smaller than the sum of its proper divisors (210361536).

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

115304064 is a wasteful number, since it uses less digits than its factorization.

115304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 115304064 is about 10737.9729930746. The cubic root of 115304064 is about 486.7226290392.

Adding to 115304064 its reverse (460403511), we get a palindrome (575707575).

The spelling of 115304064 in words is "one hundred fifteen million, three hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 289 384 408 544 578 816 867 1039 1088 1156 1632 1734 2078 2176 2312 3117 3264 3468 4156 4624 6234 6528 6936 8312 9248 12468 13872 16624 17663 18496 24936 27744 33248 35326 36992 49872 52989 55488 66496 70652 99744 105978 110976 132992 141304 199488 211956 282608 300271 398976 423912 565216 600542 847824 900813 1130432 1201084 1695648 1801626 2260864 2402168 3391296 3603252 4804336 6782592 7206504 9608672 14413008 19217344 28826016 38434688 57652032 115304064