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115130000 = 245429397
BaseRepresentation
bin1101101110010…
…11111010010000
322000122012200002
412313023322100
5213433130000
615231345132
72565405656
oct667137220
9260565602
10115130000
1159a95967
12326821a8
131ab1037b
141140cdd6
15a1928d5
hex6dcbe90

115130000 has 100 divisors (see below), whose sum is σ = 289079340. Its totient is φ = 44352000.

The previous prime is 115129999. The next prime is 115130003. The reversal of 115130000 is 31511.

It can be written as a sum of positive squares in 10 ways, for example, as 78357904 + 36772096 = 8852^2 + 6064^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115130003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289802 + ... + 290198.

Almost surely, 2115130000 is an apocalyptic number.

115130000 is a gapful number since it is divisible by the number (10) 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 115130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144539670).

115130000 is an abundant number, since it is smaller than the sum of its proper divisors (173949340).

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

115130000 is an equidigital number, since it uses as much as digits as its factorization.

115130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 115130000 is about 10729.8648640139. The cubic root of 115130000 is about 486.4775854783.

Adding to 115130000 its reverse (31511), we get a palindrome (115161511).

The spelling of 115130000 in words is "one hundred fifteen million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 397 400 464 500 580 625 725 794 1000 1160 1250 1450 1588 1985 2000 2320 2500 2900 3176 3625 3970 5000 5800 6352 7250 7940 9925 10000 11513 11600 14500 15880 18125 19850 23026 29000 31760 36250 39700 46052 49625 57565 58000 72500 79400 92104 99250 115130 145000 158800 184208 198500 230260 248125 287825 290000 397000 460520 496250 575650 794000 921040 992500 1151300 1439125 1985000 2302600 2878250 3970000 4605200 5756500 7195625 11513000 14391250 23026000 28782500 57565000 115130000