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1132292 = 227253109
BaseRepresentation
bin100010100011100000100
32010112012202
410110130010
5242213132
640134032
712424100
oct4243404
92115182
101132292
11703787
12467318
133084c5
14216900
15175762
hex114704

1132292 has 36 divisors (see below), whose sum is σ = 2370060. Its totient is φ = 471744.

The previous prime is 1132291. The next prime is 1132301. The reversal of 1132292 is 2922311.

It can be written as a sum of positive squares in 2 ways, for example, as 802816 + 329476 = 896^2 + 574^2 .

It is not an unprimeable number, because it can be changed into a prime (1132291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10334 + ... + 10442.

It is an arithmetic number, because the mean of its divisors is an integer number (65835).

21132292 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 1132292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185030).

1132292 is an abundant number, since it is smaller than the sum of its proper divisors (1237768).

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

1132292 is a wasteful number, since it uses less digits than its factorization.

1132292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 1132292 is about 1064.0921012770. The cubic root of 1132292 is about 104.2284180701.

The spelling of 1132292 in words is "one million, one hundred thirty-two thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 28 49 53 98 106 109 196 212 218 371 436 742 763 1484 1526 2597 3052 5194 5341 5777 10388 10682 11554 21364 23108 40439 80878 161756 283073 566146 1132292