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1128264 = 23353887
BaseRepresentation
bin100010011011101001000
32010022200120
410103131020
5242101024
640103240
712406254
oct4233510
92108616
101128264
11700755
12464b20
13306717
14215264
15174479
hex113748

1128264 has 32 divisors (see below), whose sum is σ = 2877120. Its totient is φ = 368576.

The previous prime is 1128251. The next prime is 1128287. The reversal of 1128264 is 4628211.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 829 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (89910).

21128264 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 1128264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438560).

1128264 is an abundant number, since it is smaller than the sum of its proper divisors (1748856).

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

1128264 is a wasteful number, since it uses less digits than its factorization.

1128264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 945 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 1128264 is about 1062.1977217072. The cubic root of 1128264 is about 104.1046776424.

It can be divided in two parts, 1128 and 264, that multiplied together give a palindrome (297792).

The spelling of 1128264 in words is "one million, one hundred twenty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 887 1272 1774 2661 3548 5322 7096 10644 21288 47011 94022 141033 188044 282066 376088 564132 1128264