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1248896 = 2711887
BaseRepresentation
bin100110000111010000000
32100110011102
410300322000
5304431041
642433532
713421045
oct4607200
92313142
101248896
11783350
125028a8
133495bc
142471cc
1519a09b
hex130e80

1248896 has 32 divisors (see below), whose sum is σ = 2717280. Its totient is φ = 567040.

The previous prime is 1248893. The next prime is 1248917. The reversal of 1248896 is 6988421.

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

It is not an unprimeable number, because it can be changed into a prime (1248893) 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, 965 + ... + 1851.

It is an arithmetic number, because the mean of its divisors is an integer number (84915).

21248896 is an apocalyptic number.

1248896 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 1248896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358640).

1248896 is an abundant number, since it is smaller than the sum of its proper divisors (1468384).

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

1248896 is an equidigital number, since it uses as much as digits as its factorization.

1248896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 900 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 1248896 is about 1117.5401558781. The cubic root of 1248896 is about 107.6900118820.

The spelling of 1248896 in words is "one million, two hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 887 1408 1774 3548 7096 9757 14192 19514 28384 39028 56768 78056 113536 156112 312224 624448 1248896