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91014 = 23711197
BaseRepresentation
bin10110001110000110
311121211220
4112032012
510403024
61541210
7526230
oct261606
9147756
1091014
1162420
1244806
1332571
1425250
151be79
hex16386

91014 has 32 divisors (see below), whose sum is σ = 228096. Its totient is φ = 23520.

The previous prime is 91009. The next prime is 91019. The reversal of 91014 is 41019.

It is an interprime number because it is at equal distance from previous prime (91009) and next prime (91019).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90984 and 91002.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 91014.

It is not an unprimeable number, because it can be changed into a prime (91019) by changing a digit.

91014 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 15 ways as a sum of consecutive naturals, for example, 364 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (7128).

291014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048).

91014 is an abundant number, since it is smaller than the sum of its proper divisors (137082).

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

91014 is a wasteful number, since it uses less digits than its factorization.

91014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220.

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

The square root of 91014 is about 301.6852664616. The cubic root of 91014 is about 44.9817209711.

The spelling of 91014 in words is "ninety-one thousand, fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 197 231 394 462 591 1182 1379 2167 2758 4137 4334 6501 8274 13002 15169 30338 45507 91014