Search a number
-
+
11266992 = 2433112371
BaseRepresentation
bin101010111110…
…101110110000
3210012102102000
4222332232300
510341020432
61041254000
7164524242
oct52765660
923172360
1011266992
1163a6070
123934300
132446479
1416d4092
15ec857c
hexabebb0

11266992 has 80 divisors (see below), whose sum is σ = 35295360. Its totient is φ = 3412800.

The previous prime is 11266973. The next prime is 11267023. The reversal of 11266992 is 29966211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3567 + ... + 5937.

It is an arithmetic number, because the mean of its divisors is an integer number (441192).

Almost surely, 211266992 is an apocalyptic number.

11266992 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 11266992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17647680).

11266992 is an abundant number, since it is smaller than the sum of its proper divisors (24028368).

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

11266992 is a wasteful number, since it uses less digits than its factorization.

11266992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2387 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 11266992 is about 3356.6340283087. The cubic root of 11266992 is about 224.1829924739.

It can be divided in two parts, 1126 and 6992, that added together give a palindrome (8118).

The spelling of 11266992 in words is "eleven million, two hundred sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2371 2376 4742 4752 7113 9484 14226 18968 21339 26081 28452 37936 42678 52162 56904 64017 78243 85356 104324 113808 128034 156486 170712 208648 234729 256068 312972 341424 417296 469458 512136 625944 704187 938916 1024272 1251888 1408374 1877832 2816748 3755664 5633496 11266992