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245804020 = 2257111741229
BaseRepresentation
bin11101010011010…
…10101111110100
3122010112010201121
432221222233310
51000411212040
640220233324
76043204540
oct1651525764
9563463647
10245804020
11116828220
126a39b844
133bc03887
1424906a20
15168a5c4a
hexea6abf4

245804020 has 192 divisors, whose sum is σ = 701084160. Its totient is φ = 70041600.

The previous prime is 245803993. The next prime is 245804021. The reversal of 245804020 is 20408542.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245804021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1073266 + ... + 1073494.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 2245804020 is an apocalyptic number.

245804020 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 245804020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350542080).

245804020 is an abundant number, since it is smaller than the sum of its proper divisors (455280140).

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

245804020 is a wasteful number, since it uses less digits than its factorization.

245804020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 245804020 is about 15678.1382823344. The cubic root of 245804020 is about 626.4162188946.

The spelling of 245804020 in words is "two hundred forty-five million, eight hundred four thousand, twenty".