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115011072 = 2932112269
BaseRepresentation
bin1101101101011…
…10111000000000
322000102011112100
412312232320000
5213420323242
615225030400
72564402151
oct666567000
9260364470
10115011072
1159a14580
1232625400
131aa9b1b7
14113bb928
15a16c54c
hex6daee00

115011072 has 120 divisors (see below), whose sum is σ = 362264760. Its totient is φ = 34836480.

The previous prime is 115011067. The next prime is 115011077. The reversal of 115011072 is 270110511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115011067) and next prime (115011077).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115011077) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49554 + ... + 51822.

It is an arithmetic number, because the mean of its divisors is an integer number (3018873).

Almost surely, 2115011072 is an apocalyptic number.

115011072 is a gapful number since it is divisible by the number (12) 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 115011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181132380).

115011072 is an abundant number, since it is smaller than the sum of its proper divisors (247253688).

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

115011072 is a wasteful number, since it uses less digits than its factorization.

115011072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 115011072 is about 10724.3215170005. The cubic root of 115011072 is about 486.3100191354.

Adding to 115011072 its reverse (270110511), we get a palindrome (385121583).

The spelling of 115011072 in words is "one hundred fifteen million, eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2269 2304 2816 3168 4224 4538 4608 5632 6336 6807 8448 9076 12672 13614 16896 18152 20421 24959 25344 27228 36304 40842 49918 50688 54456 72608 74877 81684 99836 108912 145216 149754 163368 199672 217824 224631 290432 299508 326736 399344 435648 449262 580864 599016 653472 798688 871296 898524 1161728 1198032 1306944 1597376 1742592 1797048 2396064 2613888 3194752 3485184 3594096 4792128 5227776 6389504 7188192 9584256 10455552 12779008 14376384 19168512 28752768 38337024 57505536 115011072