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1678008080 = 24572996443
BaseRepresentation
bin110010000000100…
…0101111100010000
311022221110122100102
41210001011330100
511414032224310
6434301311532
756403555560
oct14401057420
94287418312
101678008080
11791212341
123a9b655a8
132098495b8
1411cbdcda0
159c4ac8a5
hex64045f10

1678008080 has 40 divisors (see below), whose sum is σ = 4458708672. Its totient is φ = 575316864.

The previous prime is 1678008067. The next prime is 1678008089. The reversal of 1678008080 is 808008761.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×16780080802 = 5631422233090572800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1678008089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1497662 + ... + 1498781.

Almost surely, 21678008080 is an apocalyptic number.

1678008080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1678008080 is an abundant number, since it is smaller than the sum of its proper divisors (2780700592).

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

1678008080 is a wasteful number, since it uses less digits than its factorization.

1678008080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996463 (or 2996457 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 1678008080 is about 40963.4969210393. The cubic root of 1678008080 is about 1188.3143707328.

The spelling of 1678008080 in words is "one billion, six hundred seventy-eight million, eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2996443 5992886 11985772 14982215 20975101 23971544 29964430 41950202 47943088 59928860 83900404 104875505 119857720 167800808 209751010 239715440 335601616 419502020 839004040 1678008080