Search a number
-
+
897375360 = 27357232903
BaseRepresentation
bin110101011111001…
…101110010000000
32022112120101120110
4311133031302000
53314212002420
6225013511320
731144364460
oct6537156200
92275511513
10897375360
114205aa432
12210642540
13113bb7b4b
1487275ba0
1553badee0
hex357cdc80

897375360 has 256 divisors, whose sum is σ = 3412316160. Its totient is φ = 196128768.

The previous prime is 897375317. The next prime is 897375361. The reversal of 897375360 is 63573798.

897375360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (897375361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307669 + ... + 310571.

It is an arithmetic number, because the mean of its divisors is an integer number (13329360).

Almost surely, 2897375360 is an apocalyptic number.

897375360 is a gapful number since it is divisible by the number (80) 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 897375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706158080).

897375360 is an abundant number, since it is smaller than the sum of its proper divisors (2514940800).

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

897375360 is a wasteful number, since it uses less digits than its factorization.

897375360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 897375360 is about 29956.2240611196. The cubic root of 897375360 is about 964.5499292757.

The spelling of 897375360 in words is "eight hundred ninety-seven million, three hundred seventy-five thousand, three hundred sixty".