Search a number
-
+
11266112 = 2611131231
BaseRepresentation
bin101010111110…
…100001000000
3210012101012102
4222332201000
510341003422
61041245532
7164521544
oct52764100
923171172
1011266112
1163a5440
1239338a8
132445c50
1416d3a24
15ec8192
hexabe840

11266112 has 56 divisors (see below), whose sum is σ = 26285952. Its totient is φ = 4723200.

The previous prime is 11266097. The next prime is 11266127. The reversal of 11266112 is 21166211.

It is an interprime number because it is at equal distance from previous prime (11266097) and next prime (11266127).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8537 + ... + 9767.

It is an arithmetic number, because the mean of its divisors is an integer number (469392).

Almost surely, 211266112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13142976).

11266112 is an abundant number, since it is smaller than the sum of its proper divisors (15019840).

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

11266112 is a wasteful number, since it uses less digits than its factorization.

11266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1257 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

The square root of 11266112 is about 3356.5029420514. The cubic root of 11266112 is about 224.1771557735.

Subtracting 11266112 from its reverse (21166211), we obtain a palindrome (9900099).

The spelling of 11266112 in words is "eleven million, two hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 1231 2288 2462 4576 4924 9152 9848 13541 16003 19696 27082 32006 39392 54164 64012 78784 108328 128024 176033 216656 256048 352066 433312 512096 704132 866624 1024192 1408264 2816528 5633056 11266112