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1264256 = 2771783
BaseRepresentation
bin100110100101010000000
32101020020022
410310222000
5310424011
643033012
713513610
oct4645200
92336208
101264256
11793944
1250b768
133535a6
1424ca40
1519e8db
hex134a80

1264256 has 64 divisors (see below), whose sum is σ = 3084480. Its totient is φ = 503808.

The previous prime is 1264231. The next prime is 1264259. The reversal of 1264256 is 6524621.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1264259) 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 7 ways as a sum of consecutive naturals, for example, 15191 + ... + 15273.

It is an arithmetic number, because the mean of its divisors is an integer number (48195).

21264256 is an apocalyptic number.

1264256 is a gapful number since it is divisible by the number (16) 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 1264256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542240).

1264256 is an abundant number, since it is smaller than the sum of its proper divisors (1820224).

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

1264256 is an equidigital number, since it uses as much as digits as its factorization.

1264256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 1264256 is about 1124.3913909311. The cubic root of 1264256 is about 108.1297024250.

Adding to 1264256 its reverse (6524621), we get a palindrome (7788877).

The spelling of 1264256 in words is "one million, two hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 83 112 119 128 136 166 224 238 272 332 448 476 544 581 664 896 952 1088 1162 1328 1411 1904 2176 2324 2656 2822 3808 4648 5312 5644 7616 9296 9877 10624 11288 15232 18592 19754 22576 37184 39508 45152 74368 79016 90304 158032 180608 316064 632128 1264256