Search a number
-
+
297026701920 = 25345135929881
BaseRepresentation
bin1000101001010000010…
…10111100101001100000
31001101200022010211120000
410110220022330221200
514331302313430140
6344241401020000
730313412210664
oct4245012745140
91041608124500
10297026701920
11104a71914463
1249695784600
1322017b36130
141053a2ca8a4
157ad6641a30
hex45282bca60

297026701920 has 480 divisors, whose sum is σ = 1148064049440. Its totient is φ = 71872634880.

The previous prime is 297026701883. The next prime is 297026701921. The reversal of 297026701920 is 29107620792.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (297026701921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9925380 + ... + 9955260.

It is an arithmetic number, because the mean of its divisors is an integer number (2391800103).

Almost surely, 2297026701920 is an apocalyptic number.

297026701920 is a gapful number since it is divisible by the number (20) 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 297026701920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574032024720).

297026701920 is an abundant number, since it is smaller than the sum of its proper divisors (851037347520).

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

297026701920 is a wasteful number, since it uses less digits than its factorization.

297026701920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29980 (or 29963 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 297026701920 in words is "two hundred ninety-seven billion, twenty-six million, seven hundred one thousand, nine hundred twenty".