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1224128 = 2631617
BaseRepresentation
bin100101010110111000000
32022012012002
410222313000
5303133003
642123132
713255613
oct4526700
92265162
101224128
11766784
124b04a8
1333b249
1423c17a
15192a88
hex12adc0

1224128 has 28 divisors (see below), whose sum is σ = 2511552. Its totient is φ = 591360.

The previous prime is 1224121. The next prime is 1224131. The reversal of 1224128 is 8214221.

It is a happy number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1676 + ... + 2292.

21224128 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 1224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255776).

1224128 is an abundant number, since it is smaller than the sum of its proper divisors (1287424).

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

1224128 is an equidigital number, since it uses as much as digits as its factorization.

1224128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 650 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 1224128 is about 1106.4031814849. The cubic root of 1224128 is about 106.9733534835.

Adding to 1224128 its reverse (8214221), we get a palindrome (9438349).

The spelling of 1224128 in words is "one million, two hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 617 992 1234 1984 2468 4936 9872 19127 19744 38254 39488 76508 153016 306032 612064 1224128