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1131966 = 232115717
BaseRepresentation
bin100010100010110111110
32010111202200
410110112332
5242210331
640132330
712423123
oct4242676
92114680
101131966
11703510
124670a6
13308304
1421674a
151755e6
hex1145be

1131966 has 24 divisors (see below), whose sum is σ = 2676024. Its totient is φ = 342960.

The previous prime is 1131961. The next prime is 1131973. The reversal of 1131966 is 6691311.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131961) 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 11 ways as a sum of consecutive naturals, for example, 2661 + ... + 3056.

It is an arithmetic number, because the mean of its divisors is an integer number (111501).

21131966 is an apocalyptic number.

1131966 is an abundant number, since it is smaller than the sum of its proper divisors (1544058).

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

1131966 is a wasteful number, since it uses less digits than its factorization.

1131966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5733 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 1131966 is about 1063.9389080206. The cubic root of 1131966 is about 104.2184142532.

The spelling of 1131966 in words is "one million, one hundred thirty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 5717 11434 17151 34302 51453 62887 102906 125774 188661 377322 565983 1131966