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1132290 = 232523547
BaseRepresentation
bin100010100011100000010
32010112012200
410110130002
5242213130
640134030
712424065
oct4243402
92115180
101132290
11703785
12467316
133084c3
142168dc
15175760
hex114702

1132290 has 48 divisors (see below), whose sum is σ = 3077568. Its totient is φ = 288288.

The previous prime is 1132259. The next prime is 1132291. The reversal of 1132290 is 922311.

It is a happy number.

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

It is an Ulam number.

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 23 ways as a sum of consecutive naturals, for example, 1797 + ... + 2343.

It is an arithmetic number, because the mean of its divisors is an integer number (64116).

21132290 is an apocalyptic number.

1132290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538784).

1132290 is an abundant number, since it is smaller than the sum of its proper divisors (1945278).

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

1132290 is a wasteful number, since it uses less digits than its factorization.

1132290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1132290 is about 1064.0911615083. The cubic root of 1132290 is about 104.2283567029.

The spelling of 1132290 in words is "one million, one hundred thirty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 547 690 1035 1094 1641 2070 2735 3282 4923 5470 8205 9846 12581 16410 24615 25162 37743 49230 62905 75486 113229 125810 188715 226458 377430 566145 1132290