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1121056 = 2553661
BaseRepresentation
bin100010001101100100000
32002221210121
410101230200
5241333211
640010024
712346246
oct4215440
92087717
101121056
116a62a2
12460914
13303361
14212796
15172271
hex111b20

1121056 has 24 divisors (see below), whose sum is σ = 2252124. Its totient is φ = 549120.

The previous prime is 1121051. The next prime is 1121083. The reversal of 1121056 is 6501211.

It is a happy number.

1121056 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 1040400 + 80656 = 1020^2 + 284^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1121051) 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, 1366 + ... + 2026.

21121056 is an apocalyptic number.

1121056 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 1121056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126062).

1121056 is an abundant number, since it is smaller than the sum of its proper divisors (1131068).

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

1121056 is an equidigital number, since it uses as much as digits as its factorization.

1121056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1121056 is about 1058.7993199847. The cubic root of 1121056 is about 103.8825103189.

Adding to 1121056 its reverse (6501211), we get a palindrome (7622267).

It can be divided in two parts, 11210 and 56, that multiplied together give a triangular number (627760 = T1120).

The spelling of 1121056 in words is "one million, one hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 53 106 212 424 661 848 1322 1696 2644 5288 10576 21152 35033 70066 140132 280264 560528 1121056