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245076960 = 25352379281
BaseRepresentation
bin11101001101110…
…01001111100000
3122002011012101110
432212321033200
51000214430320
640152503320
76034056042
oct1646711740
9562135343
10245076960
11116380a47
126a0aab40
133ba0a96b
1424797a92
15167b05e0
hexe9b93e0

245076960 has 192 divisors, whose sum is σ = 818657280. Its totient is φ = 61501440.

The previous prime is 245076911. The next prime is 245076961. The reversal of 245076960 is 69670542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245076961) 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, 872020 + ... + 872300.

It is an arithmetic number, because the mean of its divisors is an integer number (4263840).

Almost surely, 2245076960 is an apocalyptic number.

245076960 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 245076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409328640).

245076960 is an abundant number, since it is smaller than the sum of its proper divisors (573580320).

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

245076960 is a wasteful number, since it uses less digits than its factorization.

245076960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 245076960 is about 15654.9340464915. The cubic root of 245076960 is about 625.7979865809.

The spelling of 245076960 in words is "two hundred forty-five million, seventy-six thousand, nine hundred sixty".