Search a number
-
+
11339472 = 2431012339
BaseRepresentation
bin101011010000…
…011011010000
3210100002211110
4223100123100
510400330342
61043013320
7165245454
oct53203320
923302743
1011339472
116445571
12396a240
132470461
141712664
15edec9c
hexad06d0

11339472 has 40 divisors (see below), whose sum is σ = 29596320. Its totient is φ = 3740800.

The previous prime is 11339441. The next prime is 11339477. The reversal of 11339472 is 27493311.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11339477) 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, 3679 + ... + 6017.

It is an arithmetic number, because the mean of its divisors is an integer number (739908).

Almost surely, 211339472 is an apocalyptic number.

11339472 is a gapful number since it is divisible by the number (12) 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 11339472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798160).

11339472 is an abundant number, since it is smaller than the sum of its proper divisors (18256848).

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

11339472 is a wasteful number, since it uses less digits than its factorization.

11339472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2445 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 11339472 is about 3367.4132505530. The cubic root of 11339472 is about 224.6626846801.

It can be divided in two parts, 11339 and 472, that added together give a palindrome (11811).

The spelling of 11339472 in words is "eleven million, three hundred thirty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2339 2424 4678 4848 7017 9356 14034 18712 28068 37424 56136 112272 236239 472478 708717 944956 1417434 1889912 2834868 3779824 5669736 11339472