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26003140 = 22529107419
BaseRepresentation
bin110001100110…
…0011011000100
31210221002121021
41203030123010
523124100030
62325200524
7434010622
oct143143304
953832537
1026003140
11137505a9
128860144
135505997
14364c512
15243997a
hex18cc6c4

26003140 has 48 divisors (see below), whose sum is σ = 57153600. Its totient is φ = 9924992.

The previous prime is 26003059. The next prime is 26003161. The reversal of 26003140 is 4130062.

It is a congruent number.

It is an unprimeable number.

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, 61851 + ... + 62269.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 226003140 is an apocalyptic number.

26003140 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 26003140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28576800).

26003140 is an abundant number, since it is smaller than the sum of its proper divisors (31150460).

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

26003140 is a wasteful number, since it uses less digits than its factorization.

26003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 26003140 is about 5099.3274066292. The cubic root of 26003140 is about 296.2615323064.

The spelling of 26003140 in words is "twenty-six million, three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 107 116 145 214 290 419 428 535 580 838 1070 1676 2095 2140 3103 4190 6206 8380 12151 12412 15515 24302 31030 44833 48604 60755 62060 89666 121510 179332 224165 243020 448330 896660 1300157 2600314 5200628 6500785 13001570 26003140