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1115456 = 2629601
BaseRepresentation
bin100010000010101000000
32002200010012
410100111000
5241143311
635524052
712324026
oct4202500
92080105
101115456
116a2071
12459628
13300944
14210716
1517078b
hex110540

1115456 has 28 divisors (see below), whose sum is σ = 2293620. Its totient is φ = 537600.

The previous prime is 1115453. The next prime is 1115467. The reversal of 1115456 is 6545111.

It can be written as a sum of positive squares in 2 ways, for example, as 774400 + 341056 = 880^2 + 584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1556 + ... + 2156.

It is an arithmetic number, because the mean of its divisors is an integer number (81915).

21115456 is an apocalyptic number.

1115456 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 1115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146810).

1115456 is an abundant number, since it is smaller than the sum of its proper divisors (1178164).

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

1115456 is an equidigital number, since it uses as much as digits as its factorization.

1115456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 632 counting only the distinct ones).

The product of its digits is 600, while the sum is 23.

The square root of 1115456 is about 1056.1515042834. The cubic root of 1115456 is about 103.7092470708.

The spelling of 1115456 in words is "one million, one hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 601 928 1202 1856 2404 4808 9616 17429 19232 34858 38464 69716 139432 278864 557728 1115456