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245131040 = 255711101197
BaseRepresentation
bin11101001110001…
…10011100100000
3122002020221120102
432213012130200
51000223143130
640154001532
76034402520
oct1647063440
9562227512
10245131040
11116408640
126a1162a8
133ba2946b
14247ad680
15167c1645
hexe9c6720

245131040 has 192 divisors, whose sum is σ = 732872448. Its totient is φ = 75264000.

The previous prime is 245130971. The next prime is 245131049. The reversal of 245131040 is 40131542.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (245131049) 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 31 ways as a sum of consecutive naturals, for example, 1244222 + ... + 1244418.

It is an arithmetic number, because the mean of its divisors is an integer number (3817044).

Almost surely, 2245131040 is an apocalyptic number.

245131040 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 245131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366436224).

245131040 is an abundant number, since it is smaller than the sum of its proper divisors (487741408).

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

245131040 is a wasteful number, since it uses less digits than its factorization.

245131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 245131040 is about 15656.6612021848. The cubic root of 245131040 is about 625.8440138453.

Adding to 245131040 its reverse (40131542), we get a palindrome (285262582).

The spelling of 245131040 in words is "two hundred forty-five million, one hundred thirty-one thousand, forty".