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104378520 = 23357112251
BaseRepresentation
bin1100011100010…
…11000010011000
321021101222102010
412032023002120
5203210103040
614205105520
72405126361
oct616130230
9237358363
10104378520
1153a12144
122ab582a0
131881774c
14dc10b68
15926be80
hex638b098

104378520 has 64 divisors (see below), whose sum is σ = 317571840. Its totient is φ = 27440000.

The previous prime is 104378479. The next prime is 104378557. The reversal of 104378520 is 25873401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2395 + ... + 14645.

It is an arithmetic number, because the mean of its divisors is an integer number (4962060).

Almost surely, 2104378520 is an apocalyptic number.

104378520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104378520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158785920).

104378520 is an abundant number, since it is smaller than the sum of its proper divisors (213193320).

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

104378520 is a wasteful number, since it uses less digits than its factorization.

104378520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12336 (or 12332 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 104378520 is about 10216.5806412909. The cubic root of 104378520 is about 470.8367770304.

The spelling of 104378520 in words is "one hundred four million, three hundred seventy-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 12251 24502 36753 49004 61255 73506 98008 122510 147012 183765 245020 294024 367530 490040 735060 869821 1470120 1739642 2609463 3479284 4349105 5218926 6958568 8698210 10437852 13047315 17396420 20875704 26094630 34792840 52189260 104378520