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11312268 = 22311431993
BaseRepresentation
bin101011001001…
…110010001100
3210021201111220
4223021302030
510343443033
61042243340
7165103242
oct53116214
923251456
1011312268
116427090
123956550
132460c66
141706792
15ed6bb3
hexac9c8c

11312268 has 48 divisors (see below), whose sum is σ = 29479296. Its totient is φ = 3346560.

The previous prime is 11312261. The next prime is 11312281. The reversal of 11312268 is 86221311.

It is not an unprimeable number, because it can be changed into a prime (11312261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4680 + ... + 6672.

It is an arithmetic number, because the mean of its divisors is an integer number (614152).

Almost surely, 211312268 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 11312268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14739648).

11312268 is an abundant number, since it is smaller than the sum of its proper divisors (18167028).

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

11312268 is a wasteful number, since it uses less digits than its factorization.

11312268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2052 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 11312268 is about 3363.3715227432. The cubic root of 11312268 is about 224.4828815508.

Adding to 11312268 its reverse (86221311), we get a palindrome (97533579).

The spelling of 11312268 in words is "eleven million, three hundred twelve thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 1993 2838 3986 5676 5979 7972 11958 21923 23916 43846 65769 85699 87692 131538 171398 257097 263076 342796 514194 942689 1028388 1885378 2828067 3770756 5656134 11312268