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1131444 = 223253593
BaseRepresentation
bin100010100001110110100
32010111001100
410110032310
5242201234
640130100
712421446
oct4241664
92114040
101131444
11703086
12466930
13307cc2
14216496
15175399
hex1143b4

1131444 has 36 divisors (see below), whose sum is σ = 2918916. Its totient is φ = 369408.

The previous prime is 1131437. The next prime is 1131451. The reversal of 1131444 is 4441311.

It is an interprime number because it is at equal distance from previous prime (1131437) and next prime (1131451).

It can be written as a sum of positive squares in 2 ways, for example, as 756900 + 374544 = 870^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1612 + ... + 2204.

It is an arithmetic number, because the mean of its divisors is an integer number (81081).

21131444 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 1131444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459458).

1131444 is an abundant number, since it is smaller than the sum of its proper divisors (1787472).

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

1131444 is a wasteful number, since it uses less digits than its factorization.

1131444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 651 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 1131444 is about 1063.6935648955. The cubic root of 1131444 is about 104.2023918707.

Adding to 1131444 its reverse (4441311), we get a palindrome (5572755).

The spelling of 1131444 in words is "one million, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 593 636 954 1186 1779 1908 2372 3558 5337 7116 10674 21348 31429 62858 94287 125716 188574 282861 377148 565722 1131444