Search a number
-
+
1122048 = 2832487
BaseRepresentation
bin100010001111100000000
32010000011100
410101330000
5241401143
640014400
712352164
oct4217400
92100140
101122048
116a7014
12461400
13303945
14212ca4
151726d3
hex111f00

1122048 has 54 divisors (see below), whose sum is σ = 3241784. Its totient is φ = 373248.

The previous prime is 1122041. The next prime is 1122053. The reversal of 1122048 is 8402211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1122048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122041) 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 5 ways as a sum of consecutive naturals, for example, 2061 + ... + 2547.

21122048 is an apocalyptic number.

1122048 is a gapful number since it is divisible by the number (18) 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 1122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620892).

1122048 is an abundant number, since it is smaller than the sum of its proper divisors (2119736).

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

1122048 is an equidigital number, since it uses as much as digits as its factorization.

1122048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1122048 is about 1059.2676715543. The cubic root of 1122048 is about 103.9131424697.

Adding to 1122048 its reverse (8402211), we get a palindrome (9524259).

The spelling of 1122048 in words is "one million, one hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 487 576 768 974 1152 1461 1948 2304 2922 3896 4383 5844 7792 8766 11688 15584 17532 23376 31168 35064 46752 62336 70128 93504 124672 140256 187008 280512 374016 561024 1122048