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1166400 = 263652
BaseRepresentation
bin100011100110001000000
32012021000000
410130301000
5244311100
641000000
712625404
oct4346100
92167000
101166400
11727374
12483000
1331aba1
14225104
15180900
hex11cc40

1166400 has 147 divisors (see below), whose sum is σ = 4303141. Its totient is φ = 311040.

The previous prime is 1166393. The next prime is 1166401. The reversal of 1166400 is 46611.

The square root of 1166400 is 1080.

It is a perfect power (a square), and thus also a powerful number.

1166400 is a `hidden beast` number, since 1 + 1 + 664 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 746496 = 648^2 + 864^2 .

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

It is a Duffinian number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1166401) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 233278 + ... + 233282.

21166400 is an apocalyptic number.

1166400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1166400 is the 1080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166400

1166400 is an abundant number, since it is smaller than the sum of its proper divisors (3136741).

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

1166400 is an frugal number, since it uses more digits than its factorization.

1166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 1166400 is about 105.2646385757.

Multiplying 1166400 by its product of nonzero digits (144), we get a square (167961600 = 129602).

1166400 divided by its product of nonzero digits (144) gives a square (8100 = 902).

The spelling of 1166400 in words is "one million, one hundred sixty-six thousand, four hundred".