Search a number
-
+
245121120 = 25335232467
BaseRepresentation
bin11101001110001…
…00000001100000
3122002020102222000
432213010001200
51000222333440
640153444000
76034331556
oct1647040140
9562212860
10245121120
11116401142
126a110600
133ba24aaa
14247a9bd6
15167bd730
hexe9c4060

245121120 has 192 divisors, whose sum is σ = 895587840. Its totient is φ = 62498304.

The previous prime is 245121103. The next prime is 245121133. The reversal of 245121120 is 21121542.

245121120 is a `hidden beast` number, since 2 + 451 + 211 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 245121093 and 245121102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98127 + ... + 100593.

It is an arithmetic number, because the mean of its divisors is an integer number (4664520).

Almost surely, 2245121120 is an apocalyptic number.

245121120 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 245121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447793920).

245121120 is an abundant number, since it is smaller than the sum of its proper divisors (650466720).

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

245121120 is a wasteful number, since it uses less digits than its factorization.

245121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 245121120 is about 15656.3444009130. The cubic root of 245121120 is about 625.8355714813.

Adding to 245121120 its reverse (21121542), we get a palindrome (266242662).

The spelling of 245121120 in words is "two hundred forty-five million, one hundred twenty-one thousand, one hundred twenty".