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104207688 = 233313173759
BaseRepresentation
bin1100011011000…
…01010101001000
321021002022002000
412031201111020
5203134121223
614201311000
72403515334
oct615412510
9237068060
10104207688
1153905862
122aa95460
1318787a70
14dba87c4
159236543
hex6361548

104207688 has 256 divisors, whose sum is σ = 344736000. Its totient is φ = 28864512.

The previous prime is 104207669. The next prime is 104207689. The reversal of 104207688 is 886702401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104207689) 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 63 ways as a sum of consecutive naturals, for example, 1766203 + ... + 1766261.

It is an arithmetic number, because the mean of its divisors is an integer number (1346625).

Almost surely, 2104207688 is an apocalyptic number.

104207688 is a gapful number since it is divisible by the number (18) 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 104207688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

104207688 is an abundant number, since it is smaller than the sum of its proper divisors (240528312).

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

104207688 is a wasteful number, since it uses less digits than its factorization.

104207688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 104207688 is about 10208.2166904901. The cubic root of 104207688 is about 470.5797704188.

The spelling of 104207688 in words is "one hundred four million, two hundred seven thousand, six hundred eighty-eight".