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26424540 = 22325732011
BaseRepresentation
bin110010011001…
…1010011011100
31211201111122200
41210303103130
523231041130
62342211500
7440414322
oct144632334
954644580
1026424540
1113a0916a
128a23b90
13562272c
14371bd12
1524be760
hex19334dc

26424540 has 72 divisors (see below), whose sum is σ = 81292848. Its totient is φ = 6946560.

The previous prime is 26424533. The next prime is 26424553. The reversal of 26424540 is 4542462.

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, 12135 + ... + 14145.

Almost surely, 226424540 is an apocalyptic number.

26424540 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 26424540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40646424).

26424540 is an abundant number, since it is smaller than the sum of its proper divisors (54868308).

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

26424540 is a wasteful number, since it uses less digits than its factorization.

26424540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 26424540 is about 5140.4805222858. The cubic root of 26424540 is about 297.8533428476.

The spelling of 26424540 in words is "twenty-six million, four hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2011 2190 2628 3285 4022 4380 6033 6570 8044 10055 12066 13140 18099 20110 24132 30165 36198 40220 60330 72396 90495 120660 146803 180990 293606 361980 440409 587212 734015 880818 1321227 1468030 1761636 2202045 2642454 2936060 4404090 5284908 6606135 8808180 13212270 26424540