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1132248 = 2331319191
BaseRepresentation
bin100010100011011011000
32010112011010
410110123120
5242212443
640133520
712424005
oct4243330
92115133
101132248
11703747
124672a0
13308490
142168ac
15175733
hex1146d8

1132248 has 64 divisors (see below), whose sum is σ = 3225600. Its totient is φ = 328320.

The previous prime is 1132223. The next prime is 1132249. The reversal of 1132248 is 8422311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5833 + ... + 6023.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

21132248 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 1132248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612800).

1132248 is an abundant number, since it is smaller than the sum of its proper divisors (2093352).

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

1132248 is a wasteful number, since it uses less digits than its factorization.

1132248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 1132248 is about 1064.0714261740. The cubic root of 1132248 is about 104.2270679738.

Adding to 1132248 its reverse (8422311), we get a palindrome (9554559).

The spelling of 1132248 in words is "one million, one hundred thirty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 191 228 247 312 382 456 494 573 741 764 988 1146 1482 1528 1976 2292 2483 2964 3629 4584 4966 5928 7258 7449 9932 10887 14516 14898 19864 21774 29032 29796 43548 47177 59592 87096 94354 141531 188708 283062 377416 566124 1132248