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1133264 = 241147137
BaseRepresentation
bin100010100101011010000
32010120112202
410110223100
5242231024
640142332
712426656
oct4245320
92116482
101133264
11704490
124679a8
13308a92
14216dd6
15175bae
hex114ad0

1133264 has 40 divisors (see below), whose sum is σ = 2464128. Its totient is φ = 500480.

The previous prime is 1133263. The next prime is 1133287. The reversal of 1133264 is 4623311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133261) 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, 8204 + ... + 8340.

21133264 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 1133264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232064).

1133264 is an abundant number, since it is smaller than the sum of its proper divisors (1330864).

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

1133264 is a wasteful number, since it uses less digits than its factorization.

1133264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 1133264 is about 1064.5487306836. The cubic root of 1133264 is about 104.2582340089.

Adding to 1133264 its reverse (4623311), we get a palindrome (5756575).

The spelling of 1133264 in words is "one million, one hundred thirty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 137 176 188 274 376 517 548 752 1034 1096 1507 2068 2192 3014 4136 6028 6439 8272 12056 12878 24112 25756 51512 70829 103024 141658 283316 566632 1133264