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104427961 = 1129292
BaseRepresentation
bin1100011100101…
…11000110111001
321021111111020021
412032113012321
5203213143321
614210130441
72405423461
oct616270671
9237444207
10104427961
1153a46300
122ab80a21
13188340c1
14dc24ba1
15927b941
hex63971b9

104427961 has 9 divisors (see below), whose sum is σ = 114908143. Its totient is φ = 94832320.

The previous prime is 104427959. The next prime is 104427977. The reversal of 104427961 is 169724401.

The square root of 104427961 is 10219.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2013561 + 102414400 = 1419^2 + 10120^2 .

It is not a de Polignac number, because 104427961 - 21 = 104427959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104427931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111945 + ... + 112873.

Almost surely, 2104427961 is an apocalyptic number.

104427961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104427961 is the 10219-th square number.

104427961 is the 5110-th centered octagonal number.

It is an amenable number.

104427961 is a deficient number, since it is larger than the sum of its proper divisors (10480182).

104427961 is an frugal number, since it uses more digits than its factorization.

104427961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The cubic root of 104427961 is about 470.9111057543.

The spelling of 104427961 in words is "one hundred four million, four hundred twenty-seven thousand, nine hundred sixty-one".

Divisors: 1 11 121 929 10219 112409 863041 9493451 104427961