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104081184 = 2532523691
BaseRepresentation
bin1100011010000…
…10011100100000
321020211212112200
412031002130200
5203121044214
614154453200
72402450454
oct615023440
9236755480
10104081184
1153829809
122aa34200
13187422cc
14db74664
15920dd09
hex6342720

104081184 has 72 divisors (see below), whose sum is σ = 296975952. Its totient is φ = 34577280.

The previous prime is 104081177. The next prime is 104081213. The reversal of 104081184 is 481180401.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150279 + ... + 150969.

It is an arithmetic number, because the mean of its divisors is an integer number (4124666).

Almost surely, 2104081184 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 104081184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148487976).

104081184 is an abundant number, since it is smaller than the sum of its proper divisors (192894768).

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

104081184 is a wasteful number, since it uses less digits than its factorization.

104081184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 104081184 is about 10202.0186237823. The cubic root of 104081184 is about 470.3892715865.

The spelling of 104081184 in words is "one hundred four million, eighty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 523 691 1046 1382 1569 2073 2092 2764 3138 4146 4184 4707 5528 6219 6276 8292 8368 9414 11056 12438 12552 16584 16736 18828 22112 24876 25104 33168 37656 49752 50208 66336 75312 99504 150624 199008 361393 722786 1084179 1445572 2168358 2891144 3252537 4336716 5782288 6505074 8673432 11564576 13010148 17346864 26020296 34693728 52040592 104081184