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1000404 = 223359157
BaseRepresentation
bin11110100001111010100
31212211022000
43310033110
5224003104
633235300
711334426
oct3641724
91784260
101000404
11623689
12402b30
13290472
141c0816
1514b639
hexf43d4

1000404 has 48 divisors (see below), whose sum is σ = 2654400. Its totient is φ = 325728.

The previous prime is 1000403. The next prime is 1000409. The reversal of 1000404 is 4040001.

It is a Harshad number since it is a multiple of its sum of digits (9).

1000404 is a modest number, since divided by 404 gives 100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000403) 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 15 ways as a sum of consecutive naturals, for example, 6294 + ... + 6450.

It is an arithmetic number, because the mean of its divisors is an integer number (55300).

21000404 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 1000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327200).

1000404 is an abundant number, since it is smaller than the sum of its proper divisors (1653996).

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

1000404 is a wasteful number, since it uses less digits than its factorization.

1000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1000404 is about 1000.2019796021. The cubic root of 1000404 is about 100.0134648536.

Adding to 1000404 its reverse (4040001), we get a palindrome (5040405).

The spelling of 1000404 in words is "one million, four hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 157 177 236 314 354 471 531 628 708 942 1062 1413 1593 1884 2124 2826 3186 4239 5652 6372 8478 9263 16956 18526 27789 37052 55578 83367 111156 166734 250101 333468 500202 1000404