Search a number
-
+
28809060 = 22357241239
BaseRepresentation
bin110110111100…
…1011101100100
32000012122121020
41231321131210
524333342220
62505251140
7466605300
oct155713544
960178536
1028809060
1115297745
129793ab0
135c78ba7
143b7cd00
1527e1040
hex1b79764

28809060 has 144 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 6397440.

The previous prime is 28809059. The next prime is 28809071. The reversal of 28809060 is 6090882.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120421 + ... + 120659.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 228809060 is an apocalyptic number.

28809060 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 28809060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

28809060 is an abundant number, since it is smaller than the sum of its proper divisors (67717020).

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

28809060 is a wasteful number, since it uses less digits than its factorization.

28809060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 28809060 is about 5367.4071952853. The cubic root of 28809060 is about 306.5559120109. Note that the first 3 decimals are identical.

The spelling of 28809060 in words is "twenty-eight million, eight hundred nine thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 49 60 70 82 84 98 105 123 140 147 164 196 205 210 239 245 246 287 294 410 420 478 490 492 574 588 615 717 735 820 861 956 980 1148 1195 1230 1434 1435 1470 1673 1722 2009 2390 2460 2868 2870 2940 3346 3444 3585 4018 4305 4780 5019 5740 6027 6692 7170 8036 8365 8610 9799 10038 10045 11711 12054 14340 16730 17220 19598 20076 20090 23422 24108 25095 29397 30135 33460 35133 39196 40180 46844 48995 50190 58555 58794 60270 68593 70266 97990 100380 117110 117588 120540 137186 140532 146985 175665 195980 205779 234220 274372 293970 342965 351330 411558 480151 587940 685930 702660 823116 960302 1028895 1371860 1440453 1920604 2057790 2400755 2880906 4115580 4801510 5761812 7202265 9603020 14404530 28809060