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104632801 = 7132241367
BaseRepresentation
bin1100011110010…
…01000111100001
321021212220012221
412033021013201
5203241222201
614214351041
72410235620
oct617110741
9237786187
10104632801
1154076199
122b05b481
13188a6400
14dc796b7
1592bc4a1
hex63c91e1

104632801 has 24 divisors (see below), whose sum is σ = 130377984. Its totient is φ = 82218240.

The previous prime is 104632799. The next prime is 104632813. The reversal of 104632801 is 108236401.

It is not a de Polignac number, because 104632801 - 21 = 104632799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104632001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284920 + ... + 285286.

It is an arithmetic number, because the mean of its divisors is an integer number (5432416).

Almost surely, 2104632801 is an apocalyptic number.

It is an amenable number.

104632801 is a deficient number, since it is larger than the sum of its proper divisors (25745183).

104632801 is a wasteful number, since it uses less digits than its factorization.

104632801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 104632801 is about 10229.0175970129. The cubic root of 104632801 is about 471.2188088749.

The spelling of 104632801 in words is "one hundred four million, six hundred thirty-two thousand, eight hundred one".

Divisors: 1 7 13 91 169 241 367 1183 1687 2569 3133 4771 21931 33397 40729 62023 88447 285103 434161 619129 1149811 8048677 14947543 104632801