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1680802308 = 2232172746409
BaseRepresentation
bin110010000101111…
…0000001000000100
311100010201121022100
41210023300020010
511420241133213
6434441232100
756436404163
oct14413601004
94303647270
101680802308
11792850719
123aaa92630
1320a2b73a3
1411d3293da
159c860773
hex642f0204

1680802308 has 36 divisors (see below), whose sum is σ = 4498619580. Its totient is φ = 527310336.

The previous prime is 1680802289. The next prime is 1680802309. The reversal of 1680802308 is 8032080861.

It can be written as a sum of positive squares in 2 ways, for example, as 726733764 + 954068544 = 26958^2 + 30888^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1680802309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1372593 + ... + 1373816.

It is an arithmetic number, because the mean of its divisors is an integer number (124961655).

Almost surely, 21680802308 is an apocalyptic number.

1680802308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1680802308 is an abundant number, since it is smaller than the sum of its proper divisors (2817817272).

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

1680802308 is a wasteful number, since it uses less digits than its factorization.

1680802308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746436 (or 2746431 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1680802308 is about 40997.5890510649. The cubic root of 1680802308 is about 1188.9736007586.

The spelling of 1680802308 in words is "one billion, six hundred eighty million, eight hundred two thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 2746409 5492818 8239227 10985636 16478454 24717681 32956908 46688953 49435362 93377906 98870724 140066859 186755812 280133718 420200577 560267436 840401154 1680802308