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11166132 = 2232321759
BaseRepresentation
bin101010100110…
…000110110100
3210000022001110
4222212012310
510324304012
61035155020
7163624215
oct52460664
923008043
1011166132
11633730a
1238a5a70
13240c5a3
1416a940c
15ea873c
hexaa61b4

11166132 has 36 divisors (see below), whose sum is σ = 27251840. Its totient is φ = 3558192.

The previous prime is 11166083. The next prime is 11166137. The reversal of 11166132 is 23166111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11166099 and 11166108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11166137) 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, 5469 + ... + 7227.

Almost surely, 211166132 is an apocalyptic number.

11166132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11166132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13625920).

11166132 is an abundant number, since it is smaller than the sum of its proper divisors (16085708).

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

11166132 is a wasteful number, since it uses less digits than its factorization.

11166132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1787 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 11166132 is about 3341.5762747542. The cubic root of 11166132 is about 223.5120383488.

Subtracting from 11166132 its sum of digits (21), we obtain a palindrome (11166111).

The spelling of 11166132 in words is "eleven million, one hundred sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 529 1058 1587 1759 2116 3174 3518 5277 6348 7036 10554 21108 40457 80914 121371 161828 242742 485484 930511 1861022 2791533 3722044 5583066 11166132