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115232320 = 265727349
BaseRepresentation
bin1101101111001…
…00111001000000
322000211102000201
412313210321000
5213444413240
615233454544
72566313200
oct667447100
9260742021
10115232320
115a055825
1232711454
131ab47b08
1411438400
15a1b2d9a
hex6de4e40

115232320 has 84 divisors (see below), whose sum is σ = 319239900. Its totient is φ = 39502848.

The previous prime is 115232317. The next prime is 115232329. The reversal of 115232320 is 23232511.

It can be written as a sum of positive squares in 2 ways, for example, as 60590656 + 54641664 = 7784^2 + 7392^2 .

It is not an unprimeable number, because it can be changed into a prime (115232329) 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, 12006 + ... + 19354.

It is an arithmetic number, because the mean of its divisors is an integer number (3800475).

Almost surely, 2115232320 is an apocalyptic number.

115232320 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 115232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159619950).

115232320 is an abundant number, since it is smaller than the sum of its proper divisors (204007580).

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

115232320 is an equidigital number, since it uses as much as digits as its factorization.

115232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7380 (or 7363 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 115232320 is about 10734.6318055162. The cubic root of 115232320 is about 486.6216592727.

Adding to 115232320 its reverse (23232511), we get a palindrome (138464831).

The spelling of 115232320 in words is "one hundred fifteen million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7349 7840 14698 15680 29396 36745 51443 58792 73490 102886 117584 146980 205772 235168 257215 293960 360101 411544 470336 514430 587920 720202 823088 1028860 1175840 1440404 1646176 1800505 2057720 2351680 2880808 3292352 3601010 4115440 5761616 7202020 8230880 11523232 14404040 16461760 23046464 28808080 57616160 115232320