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104603648 = 2131132
BaseRepresentation
bin1100011110000…
…10000000000000
321021211102020012
412033002000000
5203234304043
614214004052
72410054622
oct617020000
9237742205
10104603648
11540562a6
122b046628
1318896066
14dc6cc12
1592b3a18
hex63c2000

104603648 has 42 divisors (see below), whose sum is σ = 211062189. Its totient is φ = 51838976.

The previous prime is 104603647. The next prime is 104603659. The reversal of 104603648 is 846306401.

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 2 ways, for example, as 66064384 + 38539264 = 8128^2 + 6208^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7232.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104603647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 925640 + ... + 925752.

Almost surely, 2104603648 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 104603648

104603648 is an abundant number, since it is smaller than the sum of its proper divisors (106458541).

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

104603648 is an frugal number, since it uses more digits than its factorization.

104603648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 104603648 is about 10227.5924830822. The cubic root of 104603648 is about 471.1750408345.

Multiplying 104603648 by its sum of digits (32), we get a square (3347316736 = 578562).

104603648 divided by its sum of digits (32) gives a square (3268864 = 18082).

The spelling of 104603648 in words is "one hundred four million, six hundred three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1024 1808 2048 3616 4096 7232 8192 12769 14464 25538 28928 51076 57856 102152 115712 204304 231424 408608 462848 817216 925696 1634432 3268864 6537728 13075456 26150912 52301824 104603648