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26330920 = 23571183103
BaseRepresentation
bin110010001110…
…0011100101000
31211112202020021
41210130130220
523220042140
62340210224
7436544350
oct144343450
954482207
1026330920
11139548a0
128999974
1355bbc35
1436d5b60
1524a1b4a
hex191c728

26330920 has 128 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 8029440.

The previous prime is 26330911. The next prime is 26330957. The reversal of 26330920 is 2903362.

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, 255589 + ... + 255691.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 226330920 is an apocalyptic number.

26330920 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 26330920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

26330920 is an abundant number, since it is smaller than the sum of its proper divisors (49148120).

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

26330920 is a wasteful number, since it uses less digits than its factorization.

26330920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 26330920 is about 5131.3662897907. The cubic root of 26330920 is about 297.5011698751.

The spelling of 26330920 in words is "twenty-six million, three hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 83 88 103 110 140 154 166 206 220 280 308 332 385 412 415 440 515 581 616 664 721 770 824 830 913 1030 1133 1162 1442 1540 1660 1826 2060 2266 2324 2884 2905 3080 3320 3605 3652 4120 4532 4565 4648 5665 5768 5810 6391 7210 7304 7931 8549 9064 9130 11330 11620 12782 14420 15862 17098 18260 22660 23240 25564 28840 31724 31955 34196 36520 39655 42745 45320 51128 59843 63448 63910 68392 79310 85490 94039 119686 127820 158620 170980 188078 239372 255640 299215 317240 341960 376156 470195 478744 598430 658273 752312 940390 1196860 1316546 1880780 2393720 2633092 3291365 3761560 5266184 6582730 13165460 26330920