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1360080 = 243251889
BaseRepresentation
bin101001100000011010000
32120002200100
411030003100
5322010310
645052400
714363151
oct5140320
92502610
101360080
11849937
12557100
133880a7
14275928
151bcec0
hex14c0d0

1360080 has 60 divisors (see below), whose sum is σ = 4570020. Its totient is φ = 362496.

The previous prime is 1360069. The next prime is 1360081. The reversal of 1360080 is 800631.

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 788544 = 756^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1360081) 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 11 ways as a sum of consecutive naturals, for example, 225 + ... + 1664.

It is an arithmetic number, because the mean of its divisors is an integer number (76167).

21360080 is an apocalyptic number.

1360080 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 1360080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285010).

1360080 is an abundant number, since it is smaller than the sum of its proper divisors (3209940).

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

1360080 is a wasteful number, since it uses less digits than its factorization.

1360080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1899 counting only the distinct ones).

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

The square root of 1360080 is about 1166.2246781817. The cubic root of 1360080 is about 110.7953375075.

The spelling of 1360080 in words is "one million, three hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1889 3778 5667 7556 9445 11334 15112 17001 18890 22668 28335 30224 34002 37780 45336 56670 68004 75560 85005 90672 113340 136008 151120 170010 226680 272016 340020 453360 680040 1360080