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26672320 = 265174903
BaseRepresentation
bin110010110111…
…1110011000000
31212012002112201
41211233303000
523312003240
62351402544
7442465603
oct145576300
955162481
1026672320
1114068344
128b23454
1356ab44c
14378433a
15251cd9a
hex196fcc0

26672320 has 56 divisors (see below), whose sum is σ = 67263264. Its totient is φ = 10039296.

The previous prime is 26672309. The next prime is 26672329. The reversal of 26672320 is 2327662.

It is a super-2 number, since 2×266723202 = 1422825308364800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26672329) 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 7 ways as a sum of consecutive naturals, for example, 2989 + ... + 7891.

Almost surely, 226672320 is an apocalyptic number.

26672320 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 26672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33631632).

26672320 is an abundant number, since it is smaller than the sum of its proper divisors (40590944).

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

26672320 is a wasteful number, since it uses less digits than its factorization.

26672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 26672320 is about 5164.5251475813. The cubic root of 26672320 is about 298.7814273411.

Adding to 26672320 its reverse (2327662), we get a palindrome (28999982).

The spelling of 26672320 in words is "twenty-six million, six hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 4903 5440 9806 19612 24515 39224 49030 78448 83351 98060 156896 166702 196120 313792 333404 392240 416755 666808 784480 833510 1333616 1568960 1667020 2667232 3334040 5334464 6668080 13336160 26672320