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1166464 = 2713701
BaseRepresentation
bin100011100110010000000
32012021002101
410130302000
5244311324
641000144
712625525
oct4346200
92167071
101166464
11727422
12483054
1331ac20
1422514c
15180944
hex11cc80

1166464 has 32 divisors (see below), whose sum is σ = 2506140. Its totient is φ = 537600.

The previous prime is 1166453. The next prime is 1166479. The reversal of 1166464 is 4646611.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 64 = 1080^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1314 + ... + 2014.

21166464 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 1166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253070).

1166464 is an abundant number, since it is smaller than the sum of its proper divisors (1339676).

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

1166464 is an equidigital number, since it uses as much as digits as its factorization.

1166464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 716 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 1166464 is about 1080.0296292232. The cubic root of 1166464 is about 105.2665638196.

It can be divided in two parts, 11664 and 64, that multiplied together give a square (746496 = 8642).

The spelling of 1166464 in words is "one million, one hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 701 832 1402 1664 2804 5608 9113 11216 18226 22432 36452 44864 72904 89728 145808 291616 583232 1166464