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104261661 = 3472109241
BaseRepresentation
bin1100011011011…
…10100000011101
321021012001010000
412031232200131
5203142333121
614202404513
72404131600
oct615564035
9237161100
10104261661
1153942369
122ab00739
13187a64ba
14dbc0337
159247526
hex636e81d

104261661 has 60 divisors (see below), whose sum is σ = 183598140. Its totient is φ = 58786560.

The previous prime is 104261657. The next prime is 104261669. The reversal of 104261661 is 166162401.

104261661 is a `hidden beast` number, since 1 + 0 + 42 + 616 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75585636 + 28676025 = 8694^2 + 5355^2 .

It is not a de Polignac number, because 104261661 - 22 = 104261657 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104261669) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 432501 + ... + 432741.

It is an arithmetic number, because the mean of its divisors is an integer number (3059969).

Almost surely, 2104261661 is an apocalyptic number.

It is an amenable number.

104261661 is a deficient number, since it is larger than the sum of its proper divisors (79336479).

104261661 is a wasteful number, since it uses less digits than its factorization.

104261661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 104261661 is about 10210.8599539902. The cubic root of 104261661 is about 470.6609999287.

The spelling of 104261661 in words is "one hundred four million, two hundred sixty-one thousand, six hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 109 147 189 241 327 441 567 723 763 981 1323 1687 2169 2289 2943 3969 5061 5341 6507 6867 8829 11809 15183 16023 19521 20601 26269 35427 45549 48069 61803 78807 106281 136647 144207 183883 236421 318843 432621 551649 709263 956529 1287181 1654947 2127789 3861543 4964841 11584629 14894523 34753887 104261661