Search a number
-
+
26726080 = 265471777
BaseRepresentation
bin110010111110…
…0111011000000
31212021211021211
41211330323000
523320213310
62352455504
7443111413
oct145747300
955254254
1026726080
11140a4777
128b4a594
1356c9a64
143799b7a
15252dc8a
hex197cec0

26726080 has 56 divisors (see below), whose sum is σ = 65032128. Its totient is φ = 10457088.

The previous prime is 26726047. The next prime is 26726087. The reversal of 26726080 is 8062762.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (26726087) 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, 14152 + ... + 15928.

It is an arithmetic number, because the mean of its divisors is an integer number (1161288).

Almost surely, 226726080 is an apocalyptic number.

26726080 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 26726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32516064).

26726080 is an abundant number, since it is smaller than the sum of its proper divisors (38306048).

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

26726080 is a wasteful number, since it uses less digits than its factorization.

26726080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 26726080 is about 5169.7272655335. The cubic root of 26726080 is about 298.9820311868.

The spelling of 26726080 in words is "twenty-six million, seven hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 752 940 1504 1777 1880 3008 3554 3760 7108 7520 8885 14216 15040 17770 28432 35540 56864 71080 83519 113728 142160 167038 284320 334076 417595 568640 668152 835190 1336304 1670380 2672608 3340760 5345216 6681520 13363040 26726080