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245925120 = 2835721307
BaseRepresentation
bin11101010100010…
…00010100000000
3122010202021211210
432222020110000
51000424100440
640223010120
76044220600
oct1652102400
9563667753
10245925120
11116900201
126a439940
133bc46a2c
1424938c00
15168cba80
hexea88500

245925120 has 216 divisors, whose sum is σ = 914354784. Its totient is φ = 56168448.

The previous prime is 245925107. The next prime is 245925143. The reversal of 245925120 is 21529542.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

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, 187507 + ... + 188813.

It is an arithmetic number, because the mean of its divisors is an integer number (4233124).

Almost surely, 2245925120 is an apocalyptic number.

245925120 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 245925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457177392).

245925120 is an abundant number, since it is smaller than the sum of its proper divisors (668429664).

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

245925120 is a wasteful number, since it uses less digits than its factorization.

245925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 245925120 is about 15681.9998724652. Note that the first 3 decimals coincide. The cubic root of 245925120 is about 626.5190739384.

The spelling of 245925120 in words is "two hundred forty-five million, nine hundred twenty-five thousand, one hundred twenty".