Search a number
-
+
11349856 = 257232203
BaseRepresentation
bin101011010010…
…111101100000
3210100122002001
4223102331200
510401143411
61043133344
7165320650
oct53227540
923318061
1011349856
116452351
123974254
1324750bb
141716360
15ee2dc1
hexad2f60

11349856 has 48 divisors (see below), whose sum is σ = 26659584. Its totient is φ = 4650624.

The previous prime is 11349841. The next prime is 11349857. The reversal of 11349856 is 65894311.

11349856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11349857) 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, 4051 + ... + 6253.

It is an arithmetic number, because the mean of its divisors is an integer number (555408).

Almost surely, 211349856 is an apocalyptic number.

11349856 is a gapful number since it is divisible by the number (16) 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 11349856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13329792).

11349856 is an abundant number, since it is smaller than the sum of its proper divisors (15309728).

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

11349856 is a wasteful number, since it uses less digits than its factorization.

11349856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2235 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 11349856 is about 3368.9547340384. The cubic root of 11349856 is about 224.7312412399.

The spelling of 11349856 in words is "eleven million, three hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2203 2576 4406 5152 8812 15421 17624 30842 35248 50669 61684 70496 101338 123368 202676 246736 354683 405352 493472 709366 810704 1418732 1621408 2837464 5674928 11349856