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26308080 = 2432561599
BaseRepresentation
bin110010001011…
…0110111110000
31211111120220100
41210112313300
523213324310
62335512400
7436420641
oct144266760
954446810
1026308080
1113939717
128988700
1355b1716
1436cb6c8
152499ec0
hex1916df0

26308080 has 120 divisors (see below), whose sum is σ = 89949600. Its totient is φ = 6888960.

The previous prime is 26308069. The next prime is 26308091. The reversal of 26308080 is 8080362.

It is an interprime number because it is at equal distance from previous prime (26308069) and next prime (26308091).

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 43621 + ... + 44219.

It is an arithmetic number, because the mean of its divisors is an integer number (749580).

Almost surely, 226308080 is an apocalyptic number.

26308080 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 26308080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44974800).

26308080 is an abundant number, since it is smaller than the sum of its proper divisors (63641520).

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

26308080 is a wasteful number, since it uses less digits than its factorization.

26308080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26308080 is about 5129.1402788382. The cubic root of 26308080 is about 297.4151253774.

The spelling of 26308080 in words is "twenty-six million, three hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 599 610 720 732 915 976 1098 1198 1220 1464 1797 1830 2196 2396 2440 2745 2928 2995 3594 3660 4392 4792 4880 5391 5490 5990 7188 7320 8784 8985 9584 10782 10980 11980 14376 14640 17970 21564 21960 23960 26955 28752 35940 36539 43128 43920 47920 53910 71880 73078 86256 107820 109617 143760 146156 182695 215640 219234 292312 328851 365390 431280 438468 548085 584624 657702 730780 876936 1096170 1315404 1461560 1644255 1753872 2192340 2630808 2923120 3288510 4384680 5261616 6577020 8769360 13154040 26308080