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1679381280 = 253251166237
BaseRepresentation
bin110010000011001…
…0101001100100000
311100001001102000200
41210012111030200
511414410200110
6434350545200
756421335223
oct14406251440
94301042020
101679381280
11791a70015
123aa508200
13209c0a645
1411d0795ba
159c67e6c0
hex64195320

1679381280 has 72 divisors (see below), whose sum is σ = 5730893532. Its totient is φ = 447834624.

The previous prime is 1679381269. The next prime is 1679381281. The reversal of 1679381280 is 821839761.

It can be written as a sum of positive squares in 2 ways, for example, as 1495832976 + 183548304 = 38676^2 + 13548^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×16793812802 = 5640642967228876800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1679381281) 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 11 ways as a sum of consecutive naturals, for example, 581679 + ... + 584558.

Almost surely, 21679381280 is an apocalyptic number.

1679381280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1679381280 is an abundant number, since it is smaller than the sum of its proper divisors (4051512252).

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

1679381280 is a wasteful number, since it uses less digits than its factorization.

1679381280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166258 (or 1166247 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1679381280 is about 40980.2547576269. The cubic root of 1679381280 is about 1188.6384351973.

The spelling of 1679381280 in words is "one billion, six hundred seventy-nine million, three hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1166237 2332474 3498711 4664948 5831185 6997422 9329896 10496133 11662370 13994844 17493555 18659792 20992266 23324740 27989688 34987110 37319584 41984532 46649480 52480665 55979376 69974220 83969064 93298960 104961330 111958752 139948440 167938128 186597920 209922660 279896880 335876256 419845320 559793760 839690640 1679381280