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1680000625 = 5441531237
BaseRepresentation
bin110010000100010…
…1100011001110001
311100002012212121101
41210020230121301
511420040010000
6434412124401
756426525002
oct14410543161
94302185541
101680000625
11792353376
123aa766701
1320a096514
1411d19b1a9
159c752e6a
hex6422c671

1680000625 has 40 divisors (see below), whose sum is σ = 2192879304. Its totient is φ = 1285440000.

The previous prime is 1680000613. The next prime is 1680000667. The reversal of 1680000625 is 5260000861.

It can be written as a sum of positive squares in 20 ways, for example, as 1670520384 + 9480241 = 40872^2 + 3079^2 .

It is not a de Polignac number, because 1680000625 - 211 = 1679998577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1680000593 and 1680000602.

It is a congruent 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 39 ways as a sum of consecutive naturals, for example, 1357507 + ... + 1358743.

Almost surely, 21680000625 is an apocalyptic number.

It is an amenable number.

1680000625 is a deficient number, since it is larger than the sum of its proper divisors (512878679).

1680000625 is an equidigital number, since it uses as much as digits as its factorization.

1680000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1680000625 is about 40987.8106880570. The cubic root of 1680000625 is about 1188.7845379713.

The spelling of 1680000625 in words is "one billion, six hundred eighty million, six hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 25 41 53 125 205 265 625 1025 1237 1325 2173 5125 6185 6625 10865 25625 30925 33125 50717 54325 65561 154625 253585 271625 327805 773125 1267925 1358125 1639025 2688001 6339625 8195125 13440005 31698125 40975625 67200025 336000125 1680000625