Search a number
-
+
11314240 = 26575051
BaseRepresentation
bin101011001010…
…010001000000
3210021211012221
4223022101000
510344023430
61042300424
7165112060
oct53122100
923254187
1011314240
116428613
123957714
132461b22
1417073a0
15ed757a
hexaca440

11314240 has 56 divisors (see below), whose sum is σ = 30796992. Its totient is φ = 3878400.

The previous prime is 11314217. The next prime is 11314249. The reversal of 11314240 is 4241311.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11314249) 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, 286 + ... + 4765.

Almost surely, 211314240 is an apocalyptic number.

11314240 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 11314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15398496).

11314240 is an abundant number, since it is smaller than the sum of its proper divisors (19482752).

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

11314240 is an equidigital number, since it uses as much as digits as its factorization.

11314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 11314240 is about 3363.6646681856. The cubic root of 11314240 is about 224.4959250455.

Adding to 11314240 its reverse (4241311), we get a palindrome (15555551).

The spelling of 11314240 in words is "eleven million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 5051 10102 20204 25255 35357 40408 50510 70714 80816 101020 141428 161632 176785 202040 282856 323264 353570 404080 565712 707140 808160 1131424 1414280 1616320 2262848 2828560 5657120 11314240