Search a number
-
+
245091840 = 293574797
BaseRepresentation
bin11101001101111…
…00111000000000
3122002011221210120
432212330320000
51000220414330
640153100240
76034150320
oct1646747000
9562157716
10245091840
11116391144
126a0b7680
133ba14676
142479d280
15167b4c10
hexe9bce00

245091840 has 320 divisors, whose sum is σ = 923940864. Its totient is φ = 54263808.

The previous prime is 245091827. The next prime is 245091851. The reversal of 245091840 is 48190542.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

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, 2526672 + ... + 2526768.

Almost surely, 2245091840 is an apocalyptic number.

245091840 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 245091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461970432).

245091840 is an abundant number, since it is smaller than the sum of its proper divisors (678849024).

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

245091840 is an equidigital number, since it uses as much as digits as its factorization.

245091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 245091840 is about 15655.4092888049. The cubic root of 245091840 is about 625.8106515625.

The spelling of 245091840 in words is "two hundred forty-five million, ninety-one thousand, eight hundred forty".