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245070720 = 27325157271
BaseRepresentation
bin11101001101101…
…11101110000000
3122002010212211100
432212313232000
51000214230340
640152414400
76034031616
oct1646675600
9562125740
10245070720
11116377294
126a0a7400
133ba07b7b
14247956b6
15167ad830
hexe9b7b80

245070720 has 192 divisors, whose sum is σ = 854792640. Its totient is φ = 64696320.

The previous prime is 245070713. The next prime is 245070809. The reversal of 245070720 is 27070542.

245070720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904185 + ... + 904455.

It is an arithmetic number, because the mean of its divisors is an integer number (4452045).

Almost surely, 2245070720 is an apocalyptic number.

245070720 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 245070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427396320).

245070720 is an abundant number, since it is smaller than the sum of its proper divisors (609721920).

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

245070720 is a wasteful number, since it uses less digits than its factorization.

245070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 245070720 is about 15654.7347470342. The cubic root of 245070720 is about 625.7926753070.

The spelling of 245070720 in words is "two hundred forty-five million, seventy thousand, seven hundred twenty".