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10404000 = 253253172
BaseRepresentation
bin100111101100…
…000010100000
3201120120121100
4213230002200
510130412000
61010554400
7154301235
oct47540240
921516540
1010404000
115966752
123598a00
132203719
14154b78c
15da7a00
hex9ec0a0

10404000 has 216 divisors, whose sum is σ = 39223548. Its totient is φ = 2611200.

The previous prime is 10403989. The next prime is 10404007. The reversal of 10404000 is 40401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 2178576 + 8225424 = 1476^2 + 2868^2 .

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10404007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 611992 + ... + 612008.

Almost surely, 210404000 is an apocalyptic number.

10404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19611774).

10404000 is an abundant number, since it is smaller than the sum of its proper divisors (28819548).

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

10404000 is a wasteful number, since it uses less digits than its factorization.

10404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 27 counting only the distinct ones).

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

The square root of 10404000 is about 3225.5232133717. The cubic root of 10404000 is about 218.3065574581.

Adding to 10404000 its reverse (40401), we get a palindrome (10444401).

The spelling of 10404000 in words is "ten million, four hundred four thousand".