[go: up one dir, main page]

Search a number
-
+
115244320 = 255898093
BaseRepresentation
bin1101101111001…
…11110100100000
322000212000111011
412313213310200
5214000304240
615234030304
72566363162
oct667476440
9260760434
10115244320
115a063844
1232718394
131ab50409
141143c932
15a1b66ea
hex6de7d20

115244320 has 48 divisors (see below), whose sum is σ = 275357880. Its totient is φ = 45574144.

The previous prime is 115244279. The next prime is 115244321. The reversal of 115244320 is 23442511.

It can be written as a sum of positive squares in 4 ways, for example, as 71842576 + 43401744 = 8476^2 + 6588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 115244291 and 115244300.

It is not an unprimeable number, because it can be changed into a prime (115244321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10194 + ... + 18286.

Almost surely, 2115244320 is an apocalyptic number.

115244320 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 115244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137678940).

115244320 is an abundant number, since it is smaller than the sum of its proper divisors (160113560).

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

115244320 is an equidigital number, since it uses as much as digits as its factorization.

115244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8197 (or 8189 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 115244320 is about 10735.1907295586. The cubic root of 115244320 is about 486.6385505326.

Adding to 115244320 its reverse (23442511), we get a palindrome (138686831).

The spelling of 115244320 in words is "one hundred fifteen million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 7120 8093 14240 16186 32372 40465 64744 80930 129488 161860 258976 323720 647440 720277 1294880 1440554 2881108 3601385 5762216 7202770 11524432 14405540 23048864 28811080 57622160 115244320