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26308920 = 233511191049
BaseRepresentation
bin110010001011…
…1000100111000
31211111122001110
41210113010320
523213341140
62335520320
7436423251
oct144270470
954448043
1026308920
111393a310
1289890a0
1355b1c11
1436cbb28
15249a380
hex1917138

26308920 has 128 divisors (see below), whose sum is σ = 90720000. Its totient is φ = 6036480.

The previous prime is 26308907. The next prime is 26308943. The reversal of 26308920 is 2980362.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 24556 + ... + 25604.

It is an arithmetic number, because the mean of its divisors is an integer number (708750).

Almost surely, 226308920 is an apocalyptic number.

26308920 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 26308920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360000).

26308920 is an abundant number, since it is smaller than the sum of its proper divisors (64411080).

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

26308920 is a wasteful number, since it uses less digits than its factorization.

26308920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 26308920 is about 5129.2221632524. Note that the first 3 decimals coincide. The cubic root of 26308920 is about 297.4182907680.

The spelling of 26308920 in words is "twenty-six million, three hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1049 1140 1254 1320 1672 2090 2098 2280 2508 3135 3147 4180 4196 5016 5245 6270 6294 8360 8392 10490 11539 12540 12588 15735 19931 20980 23078 25080 25176 31470 34617 39862 41960 46156 57695 59793 62940 69234 79724 92312 99655 115390 119586 125880 138468 159448 173085 199310 219241 230780 239172 276936 298965 346170 398620 438482 461560 478344 597930 657723 692340 797240 876964 1096205 1195860 1315446 1384680 1753928 2192410 2391720 2630892 3288615 4384820 5261784 6577230 8769640 13154460 26308920