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980816080 = 24513219281
BaseRepresentation
bin111010011101100…
…001000011010000
32112100120121201111
4322131201003100
54002042103310
6241154143104
733206541046
oct7235410320
92470517644
10980816080
11463710702
12234581a94
1312828135a
1494396396
155b19228a
hex3a7610d0

980816080 has 40 divisors (see below), whose sum is σ = 2282369544. Its totient is φ = 391987200.

The previous prime is 980816077. The next prime is 980816093. The reversal of 980816080 is 80618089.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 506970256 + 473845824 = 22516^2 + 21768^2 .

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

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 101040 + ... + 110320.

Almost surely, 2980816080 is an apocalyptic number.

It is an amenable number.

980816080 is an abundant number, since it is smaller than the sum of its proper divisors (1301553464).

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

980816080 is a wasteful number, since it uses less digits than its factorization.

980816080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615 (or 10609 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 980816080 is about 31317.9833322645. The cubic root of 980816080 is about 993.5640271161.

It can be divided in two parts, 980 and 816080, that multiplied together give a square (799758400 = 282802).

The spelling of 980816080 in words is "nine hundred eighty million, eight hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1321 2642 5284 6605 9281 10568 13210 18562 21136 26420 37124 46405 52840 74248 92810 105680 148496 185620 371240 742480 12260201 24520402 49040804 61301005 98081608 122602010 196163216 245204020 490408040 980816080