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26081280 = 211325283
BaseRepresentation
bin110001101111…
…1100000000000
31211002001210100
41203133200000
523134100110
62331002400
7434454501
oct143374000
954061710
1026081280
11137a4285
128899400
135532414
14366cba8
152452bc0
hex18df800

26081280 has 144 divisors (see below), whose sum is σ = 90712440. Its totient is φ = 6930432.

The previous prime is 26081273. The next prime is 26081299. The reversal of 26081280 is 8218062.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92019 + ... + 92301.

Almost surely, 226081280 is an apocalyptic number.

26081280 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 26081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45356220).

26081280 is an abundant number, since it is smaller than the sum of its proper divisors (64631160).

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

26081280 is a wasteful number, since it uses less digits than its factorization.

26081280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 26081280 is about 5106.9834540558. The cubic root of 26081280 is about 296.5579929921.

The spelling of 26081280 in words is "twenty-six million, eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 283 288 320 360 384 480 512 566 576 640 720 768 849 960 1024 1132 1152 1280 1415 1440 1536 1698 1920 2048 2264 2304 2547 2560 2830 2880 3072 3396 3840 4245 4528 4608 5094 5120 5660 5760 6144 6792 7680 8490 9056 9216 10188 10240 11320 11520 12735 13584 15360 16980 18112 18432 20376 22640 23040 25470 27168 30720 33960 36224 40752 45280 46080 50940 54336 67920 72448 81504 90560 92160 101880 108672 135840 144896 163008 181120 203760 217344 271680 289792 326016 362240 407520 434688 543360 579584 652032 724480 815040 869376 1086720 1304064 1448960 1630080 1738752 2173440 2608128 2897920 3260160 4346880 5216256 6520320 8693760 13040640 26081280