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104805376 = 210137873
BaseRepresentation
bin1100011111100…
…11010000000000
321022012122221121
412033303100000
5203312233001
614222202024
72411555014
oct617632000
9238178847
10104805376
1154183915
122b123314
1318936b20
14dcc2544
1593036a1
hex63f3400

104805376 has 44 divisors (see below), whose sum is σ = 225653092. Its totient is φ = 48365568.

The previous prime is 104805367. The next prime is 104805397. The reversal of 104805376 is 673508401.

It can be written as a sum of positive squares in 2 ways, for example, as 8294400 + 96510976 = 2880^2 + 9824^2 .

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 3 ways as a sum of consecutive naturals, for example, 9376 + ... + 17248.

Almost surely, 2104805376 is an apocalyptic number.

104805376 is a gapful number since it is divisible by the number (16) 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 104805376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112826546).

104805376 is an abundant number, since it is smaller than the sum of its proper divisors (120847716).

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

104805376 is an equidigital number, since it uses as much as digits as its factorization.

104805376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906 (or 7888 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 104805376 is about 10237.4496824160. The cubic root of 104805376 is about 471.4777331564.

It can be divided in two parts, 104 and 805376, that multiplied together give a square (83759104 = 91522).

The spelling of 104805376 in words is "one hundred four million, eight hundred five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3328 6656 7873 13312 15746 31492 62984 102349 125968 204698 251936 409396 503872 818792 1007744 1637584 2015488 3275168 4030976 6550336 8061952 13100672 26201344 52402688 104805376