[go: up one dir, main page]

Search a number
-
+
91080288 = 2535131753
BaseRepresentation
bin1010110110111…
…00011001100000
320100101100200000
411123130121200
5141304032123
613012100000
72154112125
oct533343140
9210340600
1091080288
1147459a72
1226604600
1315b3c880
14c14c74c
157ee1b43
hex56dc660

91080288 has 288 divisors, whose sum is σ = 312058656. Its totient is φ = 25878528.

The previous prime is 91080287. The next prime is 91080289. The reversal of 91080288 is 88208019.

It is an interprime number because it is at equal distance from previous prime (91080287) and next prime (91080289).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91080287) 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 47 ways as a sum of consecutive naturals, for example, 1718470 + ... + 1718522.

It is an arithmetic number, because the mean of its divisors is an integer number (1083537).

Almost surely, 291080288 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 91080288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156029328).

91080288 is an abundant number, since it is smaller than the sum of its proper divisors (220978368).

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

91080288 is a wasteful number, since it uses less digits than its factorization.

91080288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 91080288 is about 9543.5993210109. The cubic root of 91080288 is about 449.9263879590.

The spelling of 91080288 in words is "ninety-one million, eighty thousand, two hundred eighty-eight".