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1680028050 = 235226934159
BaseRepresentation
bin110010000100011…
…0011000110010010
311100002021021020010
41210020303012102
511420041344200
6434412455350
756430000651
oct14410630622
94302237203
101680028050
11792371a38
123aa77a556
1320a0a5b4c
1411d1a7198
159c75b150
hex64233192

1680028050 has 48 divisors (see below), whose sum is σ = 4169018880. Its totient is φ = 447733440.

The previous prime is 1680028039. The next prime is 1680028067. The reversal of 1680028050 is 508200861.

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

It is a junction number, because it is equal to n+sod(n) for n = 1680027999 and 1680028017.

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, 401871 + ... + 406029.

It is an arithmetic number, because the mean of its divisors is an integer number (86854560).

Almost surely, 21680028050 is an apocalyptic number.

1680028050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1680028050 is an abundant number, since it is smaller than the sum of its proper divisors (2488990830).

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

1680028050 is a wasteful number, since it uses less digits than its factorization.

1680028050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6867 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1680028050 is about 40988.1452373732. The cubic root of 1680028050 is about 1188.7910066670.

It can be divided in two parts, 16800 and 28050, that added together give a triangular number (44850 = T299).

The spelling of 1680028050 in words is "one billion, six hundred eighty million, twenty-eight thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 2693 4159 5386 8079 8318 12477 13465 16158 20795 24954 26930 40395 41590 62385 67325 80790 103975 124770 134650 201975 207950 311925 403950 623850 11200187 22400374 33600561 56000935 67201122 112001870 168002805 280004675 336005610 560009350 840014025 1680028050