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1286064 = 243313229
BaseRepresentation
bin100111001111110110000
32102100011000
410321332300
5312123224
643322000
713634313
oct4717660
92370130
101286064
117a926a
12520300
133604b0
1425697a
151a60c9
hex139fb0

1286064 has 80 divisors (see below), whose sum is σ = 3992800. Its totient is φ = 393984.

The previous prime is 1286039. The next prime is 1286071. The reversal of 1286064 is 4606821.

It is a super-2 number, since 2×12860642 = 3307921224192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5502 + ... + 5730.

It is an arithmetic number, because the mean of its divisors is an integer number (49910).

21286064 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 1286064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996400).

1286064 is an abundant number, since it is smaller than the sum of its proper divisors (2706736).

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

1286064 is a wasteful number, since it uses less digits than its factorization.

1286064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1286064 is about 1134.0476180478. The cubic root of 1286064 is about 108.7478953219.

The spelling of 1286064 in words is "one million, two hundred eighty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 229 234 312 351 432 458 468 624 687 702 916 936 1374 1404 1832 1872 2061 2748 2808 2977 3664 4122 5496 5616 5954 6183 8244 8931 10992 11908 12366 16488 17862 23816 24732 26793 32976 35724 47632 49464 53586 71448 80379 98928 107172 142896 160758 214344 321516 428688 643032 1286064