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1131264 = 2832491
BaseRepresentation
bin100010100001100000000
32010110210200
410110030000
5242200024
640125200
712421101
oct4241400
92113720
101131264
11702a32
12466800
13307bb4
142163a8
151752c9
hex114300

1131264 has 54 divisors (see below), whose sum is σ = 3268356. Its totient is φ = 376320.

The previous prime is 1131259. The next prime is 1131269. The reversal of 1131264 is 4621311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1131259) and next prime (1131269).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1131269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2059 + ... + 2549.

21131264 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 1131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634178).

1131264 is an abundant number, since it is smaller than the sum of its proper divisors (2137092).

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

1131264 is an equidigital number, since it uses as much as digits as its factorization.

1131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 496 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1131264 is about 1063.6089506957. The cubic root of 1131264 is about 104.1968657685.

Adding to 1131264 its reverse (4621311), we get a palindrome (5752575).

The spelling of 1131264 in words is "one million, one hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 491 576 768 982 1152 1473 1964 2304 2946 3928 4419 5892 7856 8838 11784 15712 17676 23568 31424 35352 47136 62848 70704 94272 125696 141408 188544 282816 377088 565632 1131264