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104142609 = 3231212041
BaseRepresentation
bin1100011010100…
…01011100010001
321020221222210200
412031101130101
5203130030414
614200045413
72403124524
oct615213421
9236858720
10104142609
115387097a
122aa63869
131876425c
14db8cbbb
159222109
hex6351711

104142609 has 18 divisors (see below), whose sum is σ = 155450178. Its totient is φ = 67183200.

The previous prime is 104142601. The next prime is 104142613. The reversal of 104142609 is 906241401.

104142609 is a `hidden beast` number, since 10 + 4 + 1 + 42 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93547584 + 10595025 = 9672^2 + 3255^2 .

It is not a de Polignac number, because 104142609 - 23 = 104142601 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104142601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2629 + ... + 14669.

It is an arithmetic number, because the mean of its divisors is an integer number (8636121).

Almost surely, 2104142609 is an apocalyptic number.

It is an amenable number.

104142609 is a deficient number, since it is larger than the sum of its proper divisors (51307569).

104142609 is a wasteful number, since it uses less digits than its factorization.

104142609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12109 (or 12075 counting only the distinct ones).

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

The square root of 104142609 is about 10205.0286133847. The cubic root of 104142609 is about 470.4817890418.

The spelling of 104142609 in words is "one hundred four million, one hundred forty-two thousand, six hundred nine".

Divisors: 1 3 9 31 93 279 961 2883 8649 12041 36123 108369 373271 1119813 3359439 11571401 34714203 104142609