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104181904 = 24231012803
BaseRepresentation
bin1100011010110…
…11000010010000
321021000222201001
412031123002100
5203132310104
614200551344
72403350221
oct615330220
9237028631
10104181904
1153898452
122aa82554
13187790c8
14db9d248
15922daa4
hex635b090

104181904 has 40 divisors (see below), whose sum is σ = 212789952. Its totient is φ = 49315200.

The previous prime is 104181893. The next prime is 104181907. The reversal of 104181904 is 409181401.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (104181907) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 35767 + ... + 38569.

Almost surely, 2104181904 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 104181904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106394976).

104181904 is an abundant number, since it is smaller than the sum of its proper divisors (108608048).

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

104181904 is a wasteful number, since it uses less digits than its factorization.

104181904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 104181904 is about 10206.9537081345. The cubic root of 104181904 is about 470.5409555294.

The spelling of 104181904 in words is "one hundred four million, one hundred eighty-one thousand, nine hundred four".

Divisors: 1 2 4 8 16 23 46 92 101 184 202 368 404 808 1616 2323 2803 4646 5606 9292 11212 18584 22424 37168 44848 64469 128938 257876 283103 515752 566206 1031504 1132412 2264824 4529648 6511369 13022738 26045476 52090952 104181904