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26985280 = 265721721
BaseRepresentation
bin110011011110…
…0001101000000
31212202222211211
41212330031000
523402012110
62402215504
7445241200
oct146741500
955688754
1026985280
1114261493
129054594
13578aa2a
143826400
15258098a
hex19bc340

26985280 has 84 divisors (see below), whose sum is σ = 74793348. Its totient is φ = 9246720.

The previous prime is 26985271. The next prime is 26985289. The reversal of 26985280 is 8258962.

It is an interprime number because it is at equal distance from previous prime (26985271) and next prime (26985289).

It can be written as a sum of positive squares in 2 ways, for example, as 14930496 + 12054784 = 3864^2 + 3472^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26985289) 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, 14820 + ... + 16540.

It is an arithmetic number, because the mean of its divisors is an integer number (890397).

Almost surely, 226985280 is an apocalyptic number.

26985280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37396674).

26985280 is an abundant number, since it is smaller than the sum of its proper divisors (47808068).

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

26985280 is a wasteful number, since it uses less digits than its factorization.

26985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 26985280 is about 5194.7357969391. The cubic root of 26985280 is about 299.9454715709.

The spelling of 26985280 in words is "twenty-six million, nine hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1721 1960 2240 3136 3442 3920 6884 7840 8605 12047 13768 15680 17210 24094 27536 34420 48188 55072 60235 68840 84329 96376 110144 120470 137680 168658 192752 240940 275360 337316 385504 421645 481880 550720 674632 771008 843290 963760 1349264 1686580 1927520 2698528 3373160 3855040 5397056 6746320 13492640 26985280