Search a number
-
+
11314380 = 22357113179
BaseRepresentation
bin101011001010…
…010011001100
3210021211102010
4223022103030
510344030010
61042301220
7165112350
oct53122314
923254363
1011314380
116428730
123957810
132461bcc
141707460
15ed7620
hexaca4cc

11314380 has 192 divisors, whose sum is σ = 41287680. Its totient is φ = 2246400.

The previous prime is 11314363. The next prime is 11314399. The reversal of 11314380 is 8341311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143181 + ... + 143259.

It is an arithmetic number, because the mean of its divisors is an integer number (215040).

Almost surely, 211314380 is an apocalyptic number.

11314380 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 11314380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20643840).

11314380 is an abundant number, since it is smaller than the sum of its proper divisors (29973300).

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

11314380 is a wasteful number, since it uses less digits than its factorization.

11314380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11314380 is about 3363.6854787569. The cubic root of 11314380 is about 224.4968509966.

Adding to 11314380 its reverse (8341311), we get a palindrome (19655691).

The spelling of 11314380 in words is "eleven million, three hundred fourteen thousand, three hundred eighty".