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80002960 = 2451000037
BaseRepresentation
bin1001100010010…
…11111110010000
312120112120102121
410301023332100
5130440043320
611534424024
71661004532
oct461137620
9176476377
1080002960
1141183454
1222962014
131376183b
14a8a7852
1570548aa
hex4c4bf90

80002960 has 20 divisors (see below), whose sum is σ = 186007068. Its totient is φ = 32001152.

The previous prime is 80002943. The next prime is 80002999. The reversal of 80002960 is 6920008.

It can be written as a sum of positive squares in 2 ways, for example, as 54641664 + 25361296 = 7392^2 + 5036^2 .

It is a tau number, because it is divible by the number of its divisors (20).

80002960 is a modest number, since divided by 2960 gives 80 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 499939 + ... + 500098.

Almost surely, 280002960 is an apocalyptic number.

80002960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80002960 is an abundant number, since it is smaller than the sum of its proper divisors (106004108).

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

80002960 is a wasteful number, since it uses less digits than its factorization.

80002960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000050 (or 1000044 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 80002960 is about 8944.4373774989. The cubic root of 80002960 is about 430.8922522131.

Adding to 80002960 its reverse (6920008), we get a palindrome (86922968).

The spelling of 80002960 in words is "eighty million, two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1000037 2000074 4000148 5000185 8000296 10000370 16000592 20000740 40001480 80002960