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26138680 = 23519163211
BaseRepresentation
bin110001110110…
…1100000111000
31211011222112021
41203231200320
523142414210
62332124224
7435114031
oct143554070
954158467
1026138680
1113833417
128906674
135552599
143685a88
152464bda
hex18ed838

26138680 has 64 divisors (see below), whose sum is σ = 62582400. Its totient is φ = 9797760.

The previous prime is 26138669. The next prime is 26138681. The reversal of 26138680 is 8683162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26138681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123775 + ... + 123985.

It is an arithmetic number, because the mean of its divisors is an integer number (977850).

Almost surely, 226138680 is an apocalyptic number.

26138680 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 26138680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31291200).

26138680 is an abundant number, since it is smaller than the sum of its proper divisors (36443720).

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

26138680 is a wasteful number, since it uses less digits than its factorization.

26138680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 26138680 is about 5112.6001212690. The cubic root of 26138680 is about 296.7753897395.

The spelling of 26138680 in words is "twenty-six million, one hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 163 190 211 326 380 422 652 760 815 844 1055 1304 1630 1688 2110 3097 3260 4009 4220 6194 6520 8018 8440 12388 15485 16036 20045 24776 30970 32072 34393 40090 61940 68786 80180 123880 137572 160360 171965 275144 343930 653467 687860 1306934 1375720 2613868 3267335 5227736 6534670 13069340 26138680