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26540080 = 245783571
BaseRepresentation
bin110010100111…
…1100000110000
31211221101010221
41211033200300
523243240310
62344502424
7441405220
oct145174060
954841127
1026540080
1113a87a56
128a7aa14
1356631b8
14374c080
1524e3ada
hex194f830

26540080 has 80 divisors (see below), whose sum is σ = 71495424. Its totient is φ = 8974080.

The previous prime is 26540071. The next prime is 26540081. The reversal of 26540080 is 8004562.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26540081) 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 15 ways as a sum of consecutive naturals, for example, 46195 + ... + 46765.

Almost surely, 226540080 is an apocalyptic number.

26540080 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 26540080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747712).

26540080 is an abundant number, since it is smaller than the sum of its proper divisors (44955344).

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

26540080 is a wasteful number, since it uses less digits than its factorization.

26540080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 26540080 is about 5151.7065133798. The cubic root of 26540080 is about 298.2868280210.

The spelling of 26540080 in words is "twenty-six million, five hundred forty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 280 332 415 560 571 581 664 830 1142 1162 1328 1660 2284 2324 2855 2905 3320 3997 4568 4648 5710 5810 6640 7994 9136 9296 11420 11620 15988 19985 22840 23240 31976 39970 45680 46480 47393 63952 79940 94786 159880 189572 236965 319760 331751 379144 473930 663502 758288 947860 1327004 1658755 1895720 2654008 3317510 3791440 5308016 6635020 13270040 26540080