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104242653 = 3337104347
BaseRepresentation
bin1100011011010…
…01110111011101
321021011002001000
412031221313131
5203141231103
614202140513
72404022304
oct615516735
9237132030
10104242653
115392a059
122aab1739
131879a958
14dbb743b
159241aa3
hex6369ddd

104242653 has 16 divisors (see below), whose sum is σ = 158608960. Its totient is φ = 67616208.

The previous prime is 104242639. The next prime is 104242669. The reversal of 104242653 is 356242401.

104242653 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 4 + 2 + 653 = 666.

It is a de Polignac number, because none of the positive numbers 2k-104242653 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104242603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51175 + ... + 53172.

It is an arithmetic number, because the mean of its divisors is an integer number (9913060).

Almost surely, 2104242653 is an apocalyptic number.

It is an amenable number.

104242653 is a deficient number, since it is larger than the sum of its proper divisors (54366307).

104242653 is a wasteful number, since it uses less digits than its factorization.

104242653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104393 (or 104387 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 104242653 is about 10209.9291378540. The cubic root of 104242653 is about 470.6323960362.

The spelling of 104242653 in words is "one hundred four million, two hundred forty-two thousand, six hundred fifty-three".

Divisors: 1 3 9 27 37 111 333 999 104347 313041 939123 2817369 3860839 11582517 34747551 104242653