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91104 = 2531373
BaseRepresentation
bin10110001111100000
311121222020
4112033200
510403404
61541440
7526416
oct261740
9147866
1091104
11624a2
1244880
1332610
14252b6
151bed9
hex163e0

91104 has 48 divisors (see below), whose sum is σ = 261072. Its totient is φ = 27648.

The previous prime is 91099. The next prime is 91121. The reversal of 91104 is 40119.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

91104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1212 + ... + 1284.

It is an arithmetic number, because the mean of its divisors is an integer number (5439).

291104 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 91104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130536).

91104 is an abundant number, since it is smaller than the sum of its proper divisors (169968).

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

91104 is a wasteful number, since it uses less digits than its factorization.

91104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 91104 is about 301.8343916786. The cubic root of 91104 is about 44.9965429443.

Adding to 91104 its sum of digits (15), we get a palindrome (91119).

The spelling of 91104 in words is "ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 73 78 96 104 146 156 208 219 292 312 416 438 584 624 876 949 1168 1248 1752 1898 2336 2847 3504 3796 5694 7008 7592 11388 15184 22776 30368 45552 91104