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1223604 = 223241829
BaseRepresentation
bin100101010101110110100
32022011110200
410222232310
5303123404
642120500
713254234
oct4525664
92264420
101223604
11766348
124b0130
1333ac35
1423bcc4
15192839
hex12abb4

1223604 has 36 divisors (see below), whose sum is σ = 3172260. Its totient is φ = 397440.

The previous prime is 1223603. The next prime is 1223633. The reversal of 1223604 is 4063221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 324900 + 898704 = 570^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223603) 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 11 ways as a sum of consecutive naturals, for example, 1062 + ... + 1890.

21223604 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 1223604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586130).

1223604 is an abundant number, since it is smaller than the sum of its proper divisors (1948656).

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

1223604 is a wasteful number, since it uses less digits than its factorization.

1223604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1223604 is about 1106.1663527698. The cubic root of 1223604 is about 106.9580876406.

Adding to 1223604 its reverse (4063221), we get a palindrome (5286825).

The spelling of 1223604 in words is "one million, two hundred twenty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 829 1476 1658 2487 3316 4974 7461 9948 14922 29844 33989 67978 101967 135956 203934 305901 407868 611802 1223604