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1680548272 = 241319341863
BaseRepresentation
bin110010000101011…
…0010000110110000
311100010020200211121
41210022302012300
511420210021042
6434431552024
756434265434
oct14412620660
94303220747
101680548272
11792697877
123aa98b614
1320a228880
1411d2a09c4
159c810367
hex642b21b0

1680548272 has 40 divisors (see below), whose sum is σ = 3524781344. Its totient is φ = 771600384.

The previous prime is 1680548269. The next prime is 1680548279. The reversal of 1680548272 is 2728450861.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1680548279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19213 + ... + 61075.

Almost surely, 21680548272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680548272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762390672).

1680548272 is an abundant number, since it is smaller than the sum of its proper divisors (1844233072).

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

1680548272 is a wasteful number, since it uses less digits than its factorization.

1680548272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42077 (or 42071 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 1680548272 is about 40994.4907518071. The cubic root of 1680548272 is about 1188.9136973592.

The spelling of 1680548272 in words is "one billion, six hundred eighty million, five hundred forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 193 208 386 772 1544 2509 3088 5018 10036 20072 40144 41863 83726 167452 334904 544219 669808 1088438 2176876 4353752 8079559 8707504 16159118 32318236 64636472 105034267 129272944 210068534 420137068 840274136 1680548272