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1204144 = 241719233
BaseRepresentation
bin100100101111110110000
32021011202221
410211332300
5302013034
641450424
713143424
oct4457660
92234687
101204144
11752767
124a0a14
13332116
14234b84
1518bbb4
hex125fb0

1204144 has 40 divisors (see below), whose sum is σ = 2611440. Its totient is φ = 534528.

The previous prime is 1204141. The next prime is 1204153. The reversal of 1204144 is 4414021.

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 (1204141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5052 + ... + 5284.

It is an arithmetic number, because the mean of its divisors is an integer number (65286).

21204144 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 1204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305720).

1204144 is an abundant number, since it is smaller than the sum of its proper divisors (1407296).

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

1204144 is a wasteful number, since it uses less digits than its factorization.

1204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1204144 is about 1097.3349534212. The cubic root of 1204144 is about 106.3880401881.

Adding to 1204144 its reverse (4414021), we get a palindrome (5618165).

The spelling of 1204144 in words is "one million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 233 272 304 323 466 646 932 1292 1864 2584 3728 3961 4427 5168 7922 8854 15844 17708 31688 35416 63376 70832 75259 150518 301036 602072 1204144