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91014064 = 2429732687
BaseRepresentation
bin1010110110011…
…00001110110000
320100020222211021
411123030032300
5141244422224
613010425224
72153415061
oct533141660
9210228737
1091014064
1147414239
1226592214
1315b1869b
14c132568
157ecc1e4
hex56cc3b0

91014064 has 40 divisors (see below), whose sum is σ = 184988160. Its totient is φ = 43319808.

The previous prime is 91014041. The next prime is 91014067. The reversal of 91014064 is 46041019.

It is not an unprimeable number, because it can be changed into a prime (91014067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32529 + ... + 35215.

It is an arithmetic number, because the mean of its divisors is an integer number (4624704).

Almost surely, 291014064 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 91014064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92494080).

91014064 is an abundant number, since it is smaller than the sum of its proper divisors (93974096).

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

91014064 is a wasteful number, since it uses less digits than its factorization.

91014064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 91014064 is about 9540.1291395872. The cubic root of 91014064 is about 449.8173151465.

The spelling of 91014064 in words is "ninety-one million, fourteen thousand, sixty-four".

Divisors: 1 2 4 8 16 29 58 73 116 146 232 292 464 584 1168 2117 2687 4234 5374 8468 10748 16936 21496 33872 42992 77923 155846 196151 311692 392302 623384 784604 1246768 1569208 3138416 5688379 11376758 22753516 45507032 91014064