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80964260 = 225131372273
BaseRepresentation
bin1001101001101…
…10101010100100
312122100102002022
410310312222210
5131211324020
612011202312
72002120256
oct464665244
9178312068
1080964260
114177a713
1223146398
1313a0a260
14aa77cd6
157194625
hex4d36aa4

80964260 has 48 divisors (see below), whose sum is σ = 184521456. Its totient is φ = 29663232.

The previous prime is 80964253. The next prime is 80964269. The reversal of 80964260 is 6246908.

It can be written as a sum of positive squares in 8 ways, for example, as 256 + 80964004 = 16^2 + 8998^2 .

It is a super-2 number, since 2×809642602 = 13110422794695200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 80964260.

It is not an unprimeable number, because it can be changed into a prime (80964269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34484 + ... + 36756.

It is an arithmetic number, because the mean of its divisors is an integer number (3844197).

Almost surely, 280964260 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 80964260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92260728).

80964260 is an abundant number, since it is smaller than the sum of its proper divisors (103557196).

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

80964260 is a wasteful number, since it uses less digits than its factorization.

80964260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 80964260 is about 8998.0142253722. The cubic root of 80964260 is about 432.6112246937.

The spelling of 80964260 in words is "eighty million, nine hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 274 548 685 1370 1781 2273 2740 3562 4546 7124 8905 9092 11365 17810 22730 29549 35620 45460 59098 118196 147745 295490 311401 590980 622802 1245604 1557005 3114010 4048213 6228020 8096426 16192852 20241065 40482130 80964260