Search a number
-
+
11556220 = 225133263
BaseRepresentation
bin101100000101…
…010101111100
3210202010011011
4230011111330
510424244340
61051405004
7200140414
oct54052574
923663134
1011556220
1165833a5
123a53764
132518000
14176b644
1510340ea
hexb0557c

11556220 has 48 divisors (see below), whose sum is σ = 26389440. Its totient is φ = 4250688.

The previous prime is 11556197. The next prime is 11556221. The reversal of 11556220 is 2265511.

11556220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11556191 and 11556200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11556221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43809 + ... + 44071.

It is an arithmetic number, because the mean of its divisors is an integer number (549780).

Almost surely, 211556220 is an apocalyptic number.

11556220 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 11556220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194720).

11556220 is an abundant number, since it is smaller than the sum of its proper divisors (14833220).

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

11556220 is a wasteful number, since it uses less digits than its factorization.

11556220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 11556220 is about 3399.4440721977. Note that the first 3 decimals coincide. The cubic root of 11556220 is about 226.0850959992.

The spelling of 11556220 in words is "eleven million, five hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 263 338 526 676 845 1052 1315 1690 2197 2630 3380 3419 4394 5260 6838 8788 10985 13676 17095 21970 34190 43940 44447 68380 88894 177788 222235 444470 577811 888940 1155622 2311244 2889055 5778110 11556220