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104566842 = 23319101917
BaseRepresentation
bin1100011101110…
…01000000111010
321021202112202000
412032321000322
5203232114332
614213121430
72406542412
oct616710072
9237675660
10104566842
1154030686
122b029276
1318882393
14dc5d642
1592a7b7c
hex63b903a

104566842 has 32 divisors (see below), whose sum is σ = 244603200. Its totient is φ = 33020784.

The previous prime is 104566829. The next prime is 104566843. The reversal of 104566842 is 248665401.

104566842 is a `hidden beast` number, since 10 + 4 + 566 + 84 + 2 = 666.

It is a super-3 number, since 3×1045668423 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104566797 and 104566806.

It is not an unprimeable number, because it can be changed into a prime (104566843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49933 + ... + 51984.

It is an arithmetic number, because the mean of its divisors is an integer number (7643850).

Almost surely, 2104566842 is an apocalyptic number.

104566842 is an abundant number, since it is smaller than the sum of its proper divisors (140036358).

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

104566842 is a wasteful number, since it uses less digits than its factorization.

104566842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101947 (or 101941 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 104566842 is about 10225.7929765862. The cubic root of 104566842 is about 471.1197715608.

The spelling of 104566842 in words is "one hundred four million, five hundred sixty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 101917 203834 305751 611502 917253 1834506 1936423 2751759 3872846 5503518 5809269 11618538 17427807 34855614 52283421 104566842