Search a number
-
+
91345320 = 23345112233
BaseRepresentation
bin1010111000111…
…01000110101000
320100212211020000
411130131012220
5141341022240
613021503000
72156264613
oct534350650
9210784200
1091345320
1147620100
1226711a60
1315c033b1
14c1bb17a
158045430
hex571d1a8

91345320 has 240 divisors, whose sum is σ = 338918580. Its totient is φ = 22049280.

The previous prime is 91345297. The next prime is 91345327. The reversal of 91345320 is 2354319.

It can be written as a sum of positive squares in 2 ways, for example, as 86601636 + 4743684 = 9306^2 + 2178^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (91345327) 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 59 ways as a sum of consecutive naturals, for example, 391924 + ... + 392156.

Almost surely, 291345320 is an apocalyptic number.

91345320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91345320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169459290).

91345320 is an abundant number, since it is smaller than the sum of its proper divisors (247573260).

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

91345320 is a wasteful number, since it uses less digits than its factorization.

91345320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 91345320 is about 9557.4745618286. The cubic root of 91345320 is about 450.3623747762.

Adding to 91345320 its reverse (2354319), we get a palindrome (93699639).

The spelling of 91345320 in words is "ninety-one million, three hundred forty-five thousand, three hundred twenty".