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1680966450 = 232523735481
BaseRepresentation
bin110010000110001…
…1000001100110010
311100011000221110200
41210030120030302
511420311411300
6434444540030
756440656552
oct14414301462
94304027420
101680966450
11792952a79
123aab51616
1320a344007
1411d36d162
159c894200
hex64318332

1680966450 has 36 divisors (see below), whose sum is σ = 4516197738. Its totient is φ = 448257600.

The previous prime is 1680966403. The next prime is 1680966451. The reversal of 1680966450 is 546690861.

It can be written as a sum of positive squares in 3 ways, for example, as 860659569 + 820306881 = 29337^2 + 28641^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1680966396 and 1680966405.

It is not an unprimeable number, because it can be changed into a prime (1680966451) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1867291 + ... + 1868190.

Almost surely, 21680966450 is an apocalyptic number.

1680966450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1680966450 is an abundant number, since it is smaller than the sum of its proper divisors (2835231288).

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

1680966450 is a wasteful number, since it uses less digits than its factorization.

1680966450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735499 (or 3735491 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1680966450 is about 40999.5908516170. The cubic root of 1680966450 is about 1189.0123033376.

The spelling of 1680966450 in words is "one billion, six hundred eighty million, nine hundred sixty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 3735481 7470962 11206443 18677405 22412886 33619329 37354810 56032215 67238658 93387025 112064430 168096645 186774050 280161075 336193290 560322150 840483225 1680966450