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26328120 = 23357132411
BaseRepresentation
bin110010001101…
…1110000111000
31211112121101120
41210123300320
523214444440
62340145240
7436533240
oct144336070
954477346
1026328120
1113952785
128998220
1355ba890
1436d4b20
1524a0dd0
hex191bc38

26328120 has 128 divisors (see below), whose sum is σ = 97251840. Its totient is φ = 5552640.

The previous prime is 26328103. The next prime is 26328157. The reversal of 26328120 is 2182362.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9715 + ... + 12125.

It is an arithmetic number, because the mean of its divisors is an integer number (759780).

Almost surely, 226328120 is an apocalyptic number.

26328120 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 26328120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48625920).

26328120 is an abundant number, since it is smaller than the sum of its proper divisors (70923720).

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

26328120 is a wasteful number, since it uses less digits than its factorization.

26328120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 26328120 is about 5131.0934507179. The cubic root of 26328120 is about 297.4906241896.

The spelling of 26328120 in words is "twenty-six million, three hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2411 2730 3640 4822 5460 7233 9644 10920 12055 14466 16877 19288 24110 28932 31343 33754 36165 48220 50631 57864 62686 67508 72330 84385 94029 96440 101262 125372 135016 144660 156715 168770 188058 202524 219401 250744 253155 289320 313430 337540 376116 405048 438802 470145 506310 626860 658203 675080 752232 877604 940290 1012620 1097005 1253720 1316406 1755208 1880580 2025240 2194010 2632812 3291015 3761160 4388020 5265624 6582030 8776040 13164060 26328120