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1264768 = 2741241
BaseRepresentation
bin100110100110010000000
32101020221021
410310302000
5310433033
643035224
713515241
oct4646200
92336837
101264768
1179426a
1250bb14
133538ab
1424ccc8
1519eb2d
hex134c80

1264768 has 32 divisors (see below), whose sum is σ = 2591820. Its totient is φ = 614400.

The previous prime is 1264763. The next prime is 1264787. The reversal of 1264768 is 8674621.

It can be written as a sum of positive squares in 2 ways, for example, as 1236544 + 28224 = 1112^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264763) 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 3 ways as a sum of consecutive naturals, for example, 5128 + ... + 5368.

21264768 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 1264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295910).

1264768 is an abundant number, since it is smaller than the sum of its proper divisors (1327052).

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

1264768 is an equidigital number, since it uses as much as digits as its factorization.

1264768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 1264768 is about 1124.6190466109. The cubic root of 1264768 is about 108.1442972897.

The spelling of 1264768 in words is "one million, two hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 241 328 482 656 964 1312 1928 2624 3856 5248 7712 9881 15424 19762 30848 39524 79048 158096 316192 632384 1264768