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245470680 = 2332571359127
BaseRepresentation
bin11101010000110…
…01010111011000
3122002220012110200
432220121113120
51000320030210
640205142200
76040315650
oct1650312730
9562805420
10245470680
1111661a834
126a25a960
133bb17c30
142485b360
151683c0c0
hexea195d8

245470680 has 384 divisors, whose sum is σ = 1006387200. Its totient is φ = 50512896.

The previous prime is 245470663. The next prime is 245470699. The reversal of 245470680 is 86074542.

245470680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1932777 + ... + 1932903.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2245470680 is an apocalyptic number.

245470680 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 245470680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503193600).

245470680 is an abundant number, since it is smaller than the sum of its proper divisors (760916520).

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

245470680 is a wasteful number, since it uses less digits than its factorization.

245470680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 245470680 is about 15667.5039492575. The cubic root of 245470680 is about 626.1329253939.

The spelling of 245470680 in words is "two hundred forty-five million, four hundred seventy thousand, six hundred eighty".