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26085240 = 233458397
BaseRepresentation
bin110001110000…
…0011101111000
31211002021020000
41203200131320
523134211430
62331033000
7434502156
oct143403570
954067200
1026085240
11137a7255
12889b760
13553416c
1436703d6
152453e60
hex18e0778

26085240 has 160 divisors (see below), whose sum is σ = 89646480. Its totient is φ = 6801408.

The previous prime is 26085223. The next prime is 26085317. The reversal of 26085240 is 4258062.

26085240 is a `hidden beast` number, since 2 + 608 + 52 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 268872 + ... + 268968.

Almost surely, 226085240 is an apocalyptic number.

26085240 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 26085240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44823240).

26085240 is an abundant number, since it is smaller than the sum of its proper divisors (63561240).

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

26085240 is a wasteful number, since it uses less digits than its factorization.

26085240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 26085240 is about 5107.3711437490. The cubic root of 26085240 is about 296.5730013329.

The spelling of 26085240 in words is "twenty-six million, eighty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 83 90 97 108 120 135 162 166 180 194 216 249 270 291 324 332 360 388 405 415 485 498 540 582 648 664 747 776 810 830 873 970 996 1080 1164 1245 1455 1494 1620 1660 1746 1940 1992 2241 2328 2490 2619 2910 2988 3240 3320 3492 3735 3880 4365 4482 4980 5238 5820 5976 6723 6984 7470 7857 8051 8730 8964 9960 10476 11205 11640 13095 13446 14940 15714 16102 17460 17928 20952 22410 24153 26190 26892 29880 31428 32204 33615 34920 39285 40255 44820 48306 52380 53784 62856 64408 67230 72459 78570 80510 89640 96612 104760 120765 134460 144918 157140 161020 193224 217377 241530 268920 289836 314280 322040 362295 434754 483060 579672 652131 724590 869508 966120 1086885 1304262 1449180 1739016 2173770 2608524 2898360 3260655 4347540 5217048 6521310 8695080 13042620 26085240