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1132648 = 231161211
BaseRepresentation
bin100010100100001101000
32010112200221
410110201220
5242221043
640135424
712425116
oct4244150
92115627
101132648
11703a80
12467574
1330870a
14216ab6
151758ed
hex114868

1132648 has 32 divisors (see below), whose sum is σ = 2365920. Its totient is φ = 504000.

The previous prime is 1132643. The next prime is 1132661. The reversal of 1132648 is 8462311.

It is not an unprimeable number, because it can be changed into a prime (1132643) 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 7 ways as a sum of consecutive naturals, for example, 5263 + ... + 5473.

It is an arithmetic number, because the mean of its divisors is an integer number (73935).

21132648 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 1132648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182960).

1132648 is an abundant number, since it is smaller than the sum of its proper divisors (1233272).

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

1132648 is a wasteful number, since it uses less digits than its factorization.

1132648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 1132648 is about 1064.2593668838. The cubic root of 1132648 is about 104.2393402907.

Adding to 1132648 its reverse (8462311), we get a palindrome (9594959).

It can be divided in two parts, 11 and 32648, that multiplied together give a triangular number (359128 = T847).

The spelling of 1132648 in words is "one million, one hundred thirty-two thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 61 88 122 211 244 422 488 671 844 1342 1688 2321 2684 4642 5368 9284 12871 18568 25742 51484 102968 141581 283162 566324 1132648