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1685028960 = 253354347193
BaseRepresentation
bin110010001101111…
…1000000001100000
311100102200100012000
41210123320001200
511422331411320
6435112004000
756520336606
oct14433700140
94312610160
101685028960
1179517821a
123b0390600
1320b137174
1411db09876
159cde7c90
hex646f8060

1685028960 has 384 divisors, whose sum is σ = 6195087360. Its totient is φ = 427327488.

The previous prime is 1685028959. The next prime is 1685028971. The reversal of 1685028960 is 698205861.

1685028960 is a `hidden beast` number, since 1 + 6 + 8 + 502 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8730624 + ... + 8730816.

It is an arithmetic number, because the mean of its divisors is an integer number (16133040).

Almost surely, 21685028960 is an apocalyptic number.

1685028960 is a gapful number since it is divisible by the number (10) 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 1685028960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097543680).

1685028960 is an abundant number, since it is smaller than the sum of its proper divisors (4510058400).

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

1685028960 is a wasteful number, since it uses less digits than its factorization.

1685028960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1685028960 is about 41049.1042533208. The cubic root of 1685028960 is about 1189.9693893216.

The spelling of 1685028960 in words is "one billion, six hundred eighty-five million, twenty-eight thousand, nine hundred sixty".