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1131390 = 232513967
BaseRepresentation
bin100010100001101111110
32010110222100
410110031332
5242201030
640125530
712421341
oct4241576
92113870
101131390
11703037
124668a6
13307c80
14216458
15175360
hex11437e

1131390 has 48 divisors (see below), whose sum is σ = 3171168. Its totient is φ = 278208.

The previous prime is 1131379. The next prime is 1131397. The reversal of 1131390 is 931311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687 + ... + 1653.

It is an arithmetic number, because the mean of its divisors is an integer number (66066).

21131390 is an apocalyptic number.

1131390 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 1131390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585584).

1131390 is an abundant number, since it is smaller than the sum of its proper divisors (2039778).

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

1131390 is a wasteful number, since it uses less digits than its factorization.

1131390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 1131390 is about 1063.6681813423. The cubic root of 1131390 is about 104.2007341016.

It can be divided in two parts, 1131 and 390, that added together give a square (1521 = 392).

The spelling of 1131390 in words is "one million, one hundred thirty-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 967 1170 1934 2901 4835 5802 8703 9670 12571 14505 17406 25142 29010 37713 43515 62855 75426 87030 113139 125710 188565 226278 377130 565695 1131390