Search a number
1166320 = 24561239
BaseRepresentation
bin100011100101111110000
32012020220001
410130233300
5244310240
640555344
712625231
oct4345760
92166801
101166320
11727301
12482b54
1331ab3c
14225088
1518089a
hex11cbf0

1166320 has 40 divisors (see below), whose sum is σ = 2767680. Its totient is φ = 456960.

The previous prime is 1166311. The next prime is 1166323. The reversal of 1166320 is 236611.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166323) 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 7 ways as a sum of consecutive naturals, for example, 4761 + ... + 4999.

It is an arithmetic number, because the mean of its divisors is an integer number (69192).

21166320 is an apocalyptic number.

1166320 is a gapful number since it is divisible by the number (10) 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 1166320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383840).

1166320 is an abundant number, since it is smaller than the sum of its proper divisors (1601360).

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

1166320 is a wasteful number, since it uses less digits than its factorization.

1166320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1166320 is about 1079.9629623279. The cubic root of 1166320 is about 105.2622319217.

The spelling of 1166320 in words is "one million, one hundred sixty-six thousand, three hundred twenty".