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104183936 = 277910303
BaseRepresentation
bin1100011010110…
…11100010000000
321021001002111022
412031123202000
5203132341221
614201005012
72403356153
oct615334200
9237032438
10104183936
1153899a2a
122aa83768
1318779ccc
14db9dc9a
15922e4ab
hex635b880

104183936 has 32 divisors (see below), whose sum is σ = 210201600. Its totient is φ = 51427584.

The previous prime is 104183899. The next prime is 104183941. The reversal of 104183936 is 639381401.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 104183896 and 104183905.

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, 4961 + ... + 15263.

It is an arithmetic number, because the mean of its divisors is an integer number (6568800).

Almost surely, 2104183936 is an apocalyptic number.

104183936 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 104183936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105100800).

104183936 is an abundant number, since it is smaller than the sum of its proper divisors (106017664).

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

104183936 is an equidigital number, since it uses as much as digits as its factorization.

104183936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10396 (or 10384 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 104183936 is about 10207.0532476322. The cubic root of 104183936 is about 470.5440147075.

The spelling of 104183936 in words is "one hundred four million, one hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 10112 10303 20606 41212 82424 164848 329696 659392 813937 1318784 1627874 3255748 6511496 13022992 26045984 52091968 104183936