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120825025 = 5219724533
BaseRepresentation
bin1110011001110…
…10010011000001
322102100112202221
413030322103001
5221412400100
615553411041
72664665356
oct714722301
9272315687
10120825025
11622256a2
1234569a81
131c0555c9
141209262d
15a91a01a
hex733a4c1

120825025 has 12 divisors (see below), whose sum is σ = 150589692. Its totient is φ = 96165440.

The previous prime is 120825007. The next prime is 120825037. The reversal of 120825025 is 520528021.

It can be written as a sum of positive squares in 6 ways, for example, as 2537649 + 118287376 = 1593^2 + 10876^2 .

It is not a de Polignac number, because 120825025 - 27 = 120824897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7342 + ... + 17191.

It is an arithmetic number, because the mean of its divisors is an integer number (12549141).

Almost surely, 2120825025 is an apocalyptic number.

It is an amenable number.

120825025 is a deficient number, since it is larger than the sum of its proper divisors (29764667).

120825025 is a wasteful number, since it uses less digits than its factorization.

120825025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24740 (or 24735 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 120825025 is about 10992.0437135230. The cubic root of 120825025 is about 494.3702156334.

The spelling of 120825025 in words is "one hundred twenty million, eight hundred twenty-five thousand, twenty-five".

Divisors: 1 5 25 197 985 4925 24533 122665 613325 4833001 24165005 120825025