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104001876 = 2232111811451
BaseRepresentation
bin1100011001011…
…11000101010100
321020200211202100
412030233011110
5203111030001
614153042100
72402000316
oct614570524
9236624670
10104001876
1153785170
122a9b6330
1318715194
14db537b6
1591e5586
hex632f154

104001876 has 72 divisors (see below), whose sum is σ = 288576288. Its totient is φ = 31320000.

The previous prime is 104001853. The next prime is 104001893. The reversal of 104001876 is 678100401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 70951 + ... + 72401.

It is an arithmetic number, because the mean of its divisors is an integer number (4008004).

Almost surely, 2104001876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104001876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144288144).

104001876 is an abundant number, since it is smaller than the sum of its proper divisors (184574412).

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

104001876 is a wasteful number, since it uses less digits than its factorization.

104001876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 104001876 is about 10198.1310052382. The cubic root of 104001876 is about 470.2697651578.

The spelling of 104001876 in words is "one hundred four million, one thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 181 198 362 396 543 724 1086 1451 1629 1991 2172 2902 3258 3982 4353 5804 5973 6516 7964 8706 11946 13059 15961 17412 17919 23892 26118 31922 35838 47883 52236 63844 71676 95766 143649 191532 262631 287298 525262 574596 787893 1050524 1575786 2363679 2888941 3151572 4727358 5777882 8666823 9454716 11555764 17333646 26000469 34667292 52000938 104001876