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1296080 = 24517953
BaseRepresentation
bin100111100011011010000
32102211212222
410330123100
5312433310
643440212
714005442
oct4743320
92384788
101296080
11805845
12526068
13364c16
1425a492
151a9055
hex13c6d0

1296080 has 40 divisors (see below), whose sum is σ = 3193992. Its totient is φ = 487424.

The previous prime is 1296077. The next prime is 1296089. The reversal of 1296080 is 806921.

It can be written as a sum of positive squares in 4 ways, for example, as 222784 + 1073296 = 472^2 + 1036^2 .

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 (1296089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884 + ... + 1836.

21296080 is an apocalyptic number.

1296080 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 1296080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596996).

1296080 is an abundant number, since it is smaller than the sum of its proper divisors (1897912).

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

1296080 is a wasteful number, since it uses less digits than its factorization.

1296080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1296080 is about 1138.4550935369. The cubic root of 1296080 is about 109.0294788825.

The spelling of 1296080 in words is "one million, two hundred ninety-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 953 1360 1906 3812 4765 7624 9530 15248 16201 19060 32402 38120 64804 76240 81005 129608 162010 259216 324020 648040 1296080