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1366144 = 2713821
BaseRepresentation
bin101001101100010000000
32120101222221
411031202000
5322204034
645140424
714416633
oct5154200
92511887
101366144
1185344a
1255a714
1338aa90
14277c1a
151bebb4
hex14d880

1366144 has 32 divisors (see below), whose sum is σ = 2934540. Its totient is φ = 629760.

The previous prime is 1366121. The next prime is 1366159. The reversal of 1366144 is 4416631.

It can be written as a sum of positive squares in 2 ways, for example, as 1236544 + 129600 = 1112^2 + 360^2 .

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

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, 1254 + ... + 2074.

21366144 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 1366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467270).

1366144 is an abundant number, since it is smaller than the sum of its proper divisors (1568396).

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

1366144 is an equidigital number, since it uses as much as digits as its factorization.

1366144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 836 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 1366144 is about 1168.8216288211. The cubic root of 1366144 is about 110.9597559923.

The spelling of 1366144 in words is "one million, three hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 821 832 1642 1664 3284 6568 10673 13136 21346 26272 42692 52544 85384 105088 170768 341536 683072 1366144