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245001960 = 2332572171943
BaseRepresentation
bin11101001101001…
…10111011101000
3122002000101111200
432212212323220
51000210030320
640151124200
76033324300
oct1646467350
9562011450
10245001960
1111632a665
126a073660
133b9b2798
1424778600
1516798290
hexe9a6ee8

245001960 has 576 divisors, whose sum is σ = 1056369600. Its totient is φ = 48771072.

The previous prime is 245001899. The next prime is 245001961. The reversal of 245001960 is 69100542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245001961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5697699 + ... + 5697741.

It is an arithmetic number, because the mean of its divisors is an integer number (1833975).

Almost surely, 2245001960 is an apocalyptic number.

245001960 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 245001960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528184800).

245001960 is an abundant number, since it is smaller than the sum of its proper divisors (811367640).

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

245001960 is a wasteful number, since it uses less digits than its factorization.

245001960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 245001960 is about 15652.5384522767. The cubic root of 245001960 is about 625.7341431831.

The spelling of 245001960 in words is "two hundred forty-five million, one thousand, nine hundred sixty".