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1680802280 = 23523279433
BaseRepresentation
bin110010000101111…
…0000000111101000
311100010201121021022
41210023300013220
511420241133110
6434441232012
756436404123
oct14413600750
94303647238
101680802280
117928506a3
123aaa92608
1320a2b7381
1411d3293ba
159c860755
hex642f01e8

1680802280 has 48 divisors (see below), whose sum is σ = 3953430180. Its totient is φ = 643081472.

The previous prime is 1680802273. The next prime is 1680802283. The reversal of 1680802280 is 822080861.

1680802280 = T5349 + T5350 + ... + T5463.

It can be written as a sum of positive squares in 2 ways, for example, as 1649821924 + 30980356 = 40618^2 + 5566^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1680802280.

It is not an unprimeable number, because it can be changed into a prime (1680802283) by changing a digit.

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, 18557 + ... + 60876.

Almost surely, 21680802280 is an apocalyptic number.

1680802280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680802280 is an abundant number, since it is smaller than the sum of its proper divisors (2272627900).

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

1680802280 is a wasteful number, since it uses less digits than its factorization.

1680802280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79490 (or 79463 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 1680802280 is about 40997.5887095814. The cubic root of 1680802280 is about 1188.9735941563.

The spelling of 1680802280 in words is "one billion, six hundred eighty million, eight hundred two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 529 920 1058 2116 2645 4232 5290 10580 21160 79433 158866 317732 397165 635464 794330 1588660 1826959 3177320 3653918 7307836 9134795 14615672 18269590 36539180 42020057 73078360 84040114 168080228 210100285 336160456 420200570 840401140 1680802280