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1296064 = 26711263
BaseRepresentation
bin100111100011011000000
32102211212101
410330123000
5312433224
643440144
714005420
oct4743300
92384771
101296064
11805830
12526054
13364c03
1425a480
151a9044
hex13c6c0

1296064 has 56 divisors (see below), whose sum is σ = 3218688. Its totient is φ = 503040.

The previous prime is 1296059. The next prime is 1296077. The reversal of 1296064 is 4606921.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4797 + ... + 5059.

21296064 is an apocalyptic number.

1296064 is a gapful number since it is divisible by the number (14) 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 1296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609344).

1296064 is an abundant number, since it is smaller than the sum of its proper divisors (1922624).

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

1296064 is a wasteful number, since it uses less digits than its factorization.

1296064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1296064 is about 1138.4480664484. The cubic root of 1296064 is about 109.0290302274.

It can be divided in two parts, 1 and 296064, that added together give a triangular number (296065 = T769).

The spelling of 1296064 in words is "one million, two hundred ninety-six thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 263 308 352 448 526 616 704 1052 1232 1841 2104 2464 2893 3682 4208 4928 5786 7364 8416 11572 14728 16832 20251 23144 29456 40502 46288 58912 81004 92576 117824 162008 185152 324016 648032 1296064