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104410400 = 2552130513
BaseRepresentation
bin1100011100100…
…10110100100000
321021110121010212
412032102310200
5203212113100
614205513252
72405321333
oct616226440
9237417125
10104410400
1153a34096
122ab72828
1318829103
14dc1c61a
159276635
hex6392d20

104410400 has 36 divisors (see below), whose sum is σ = 254893842. Its totient is φ = 41763840.

The previous prime is 104410391. The next prime is 104410403. The reversal of 104410400 is 4014401.

It can be written as a sum of positive squares in 3 ways, for example, as 87534736 + 16875664 = 9356^2 + 4108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104410403) 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 5 ways as a sum of consecutive naturals, for example, 64457 + ... + 66056.

Almost surely, 2104410400 is an apocalyptic number.

104410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104410400 is an abundant number, since it is smaller than the sum of its proper divisors (150483442).

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

104410400 is a wasteful number, since it uses less digits than its factorization.

104410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130533 (or 130520 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 104410400 is about 10218.1407310724. The cubic root of 104410400 is about 470.8847075450.

Adding to 104410400 its reverse (4014401), we get a palindrome (108424801).

The spelling of 104410400 in words is "one hundred four million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 130513 261026 522052 652565 1044104 1305130 2088208 2610260 3262825 4176416 5220520 6525650 10441040 13051300 20882080 26102600 52205200 104410400