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91120 = 2451767
BaseRepresentation
bin10110001111110000
311121222211
4112033300
510403440
61541504
7526441
oct261760
9147884
1091120
1162507
1244894
1332623
14252c8
151beea
hex163f0

91120 has 40 divisors (see below), whose sum is σ = 227664. Its totient is φ = 33792.

The previous prime is 91099. The next prime is 91121. The reversal of 91120 is 2119.

91120 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 91120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1327 + ... + 1393.

291120 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 91120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113832).

91120 is an abundant number, since it is smaller than the sum of its proper divisors (136544).

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

91120 is a wasteful number, since it uses less digits than its factorization.

91120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 91120 is about 301.8608951156. The cubic root of 91120 is about 44.9991769397. Note that the first 3 decimals are identical.

Adding to 91120 its reverse (2119), we get a palindrome (93239).

The spelling of 91120 in words is "ninety-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 67 68 80 85 134 136 170 268 272 335 340 536 670 680 1072 1139 1340 1360 2278 2680 4556 5360 5695 9112 11390 18224 22780 45560 91120