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1264896 = 283461
BaseRepresentation
bin100110100110100000000
32101021010000
410310310000
5310434041
643040000
713515513
oct4646400
92337100
101264896
11794376
12510000
13353979
1424cd7a
1519ebb6
hex134d00

1264896 has 90 divisors (see below), whose sum is σ = 3833522. Its totient is φ = 414720.

The previous prime is 1264889. The next prime is 1264897. The reversal of 1264896 is 6984621.

1264896 is a `hidden beast` number, since 1 + 2 + 648 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 746496 + 518400 = 864^2 + 720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1264896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264897) 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 9 ways as a sum of consecutive naturals, for example, 20706 + ... + 20766.

21264896 is an apocalyptic number.

1264896 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 1264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916761).

1264896 is an abundant number, since it is smaller than the sum of its proper divisors (2568626).

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

1264896 is an frugal number, since it uses more digits than its factorization.

1264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1264896 is about 1124.6759533306. The cubic root of 1264896 is about 108.1479453904.

The spelling of 1264896 in words is "one million, two hundred sixty-four thousand, eight hundred ninety-six".