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1122304 = 213137
BaseRepresentation
bin100010010000000000000
32010000111211
410102000000
5241403204
640015504
712353011
oct4220000
92100454
101122304
116a7227
12461594
13303ab1
14213008
15172804
hex112000

1122304 has 28 divisors (see below), whose sum is σ = 2260854. Its totient is φ = 557056.

The previous prime is 1122287. The next prime is 1122367. The reversal of 1122304 is 4032211.

It can be written as a sum of positive squares in only one way, i.e., 921600 + 200704 = 960^2 + 448^2 .

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8124 + ... + 8260.

21122304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130427).

1122304 is an abundant number, since it is smaller than the sum of its proper divisors (1138550).

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

1122304 is an frugal number, since it uses more digits than its factorization.

1122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1122304 is about 1059.3885028638. The cubic root of 1122304 is about 103.9210446098.

Adding to 1122304 its reverse (4032211), we get a palindrome (5154515).

The spelling of 1122304 in words is "one million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 512 548 1024 1096 2048 2192 4096 4384 8192 8768 17536 35072 70144 140288 280576 561152 1122304