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1126144 = 285383
BaseRepresentation
bin100010010111100000000
32010012210001
410102330000
5242014034
640045344
712400135
oct4227400
92105701
101126144
116aa0a8
12463854
13305776
1421458c
15173a14
hex112f00

1126144 has 36 divisors (see below), whose sum is σ = 2317896. Its totient is φ = 545792.

The previous prime is 1126093. The next prime is 1126159. The reversal of 1126144 is 4416211.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 13527 + ... + 13609.

It is an arithmetic number, because the mean of its divisors is an integer number (64386).

21126144 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 1126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158948).

1126144 is an abundant number, since it is smaller than the sum of its proper divisors (1191752).

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

1126144 is an frugal number, since it uses more digits than its factorization.

1126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 1126144 is about 1061.1993215226. The cubic root of 1126144 is about 104.0394327785.

The spelling of 1126144 in words is "one million, one hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 83 106 128 166 212 256 332 424 664 848 1328 1696 2656 3392 4399 5312 6784 8798 10624 13568 17596 21248 35192 70384 140768 281536 563072 1126144