Search a number
-
+
113448 = 23329163
BaseRepresentation
bin11011101100101000
312202121210
4123230220
512112243
62233120
7651516
oct335450
9182553
10113448
1178265
12557a0
133c83a
142d4b6
1523933
hex1bb28

113448 has 32 divisors (see below), whose sum is σ = 295200. Its totient is φ = 36288.

The previous prime is 113437. The next prime is 113453. The reversal of 113448 is 844311.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is an unprimeable number.

113448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 615 + ... + 777.

It is an arithmetic number, because the mean of its divisors is an integer number (9225).

2113448 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 113448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147600).

113448 is an abundant number, since it is smaller than the sum of its proper divisors (181752).

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

113448 is a wasteful number, since it uses less digits than its factorization.

113448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 113448 is about 336.8204269340. The cubic root of 113448 is about 48.4096877450.

Adding to 113448 its reverse (844311), we get a palindrome (957759).

It can be divided in two parts, 113 and 448, that added together give a triangular number (561 = T33).

The spelling of 113448 in words is "one hundred thirteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 163 174 232 326 348 489 652 696 978 1304 1956 3912 4727 9454 14181 18908 28362 37816 56724 113448