Search a number
-
+
2829060 = 2233513231
BaseRepresentation
bin1010110010101100000100
312022201202000
422302230010
51211012220
6140345300
733021663
oct12625404
95281660
102829060
111662573
12b45230
13780900
14538dda
153ad390
hex2b2b04

2829060 has 144 divisors (see below), whose sum is σ = 9838080. Its totient is φ = 673920.

The previous prime is 2829049. The next prime is 2829061. The reversal of 2829060 is 609282.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91245 + ... + 91275.

It is an arithmetic number, because the mean of its divisors is an integer number (68320).

22829060 is an apocalyptic number.

2829060 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 2829060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919040).

2829060 is an abundant number, since it is smaller than the sum of its proper divisors (7009020).

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

2829060 is a wasteful number, since it uses less digits than its factorization.

2829060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2829060 is about 1681.9809749221. The cubic root of 2829060 is about 141.4319033716.

The spelling of 2829060 in words is "two million, eight hundred twenty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 31 36 39 45 52 54 60 62 65 78 90 93 108 117 124 130 135 155 156 169 180 186 195 234 260 270 279 310 338 351 372 390 403 465 468 507 540 558 585 620 676 702 780 806 837 845 930 1014 1116 1170 1209 1395 1404 1521 1612 1674 1690 1755 1860 2015 2028 2340 2418 2535 2790 3042 3348 3380 3510 3627 4030 4185 4563 4836 5070 5239 5580 6045 6084 7020 7254 7605 8060 8370 9126 10140 10478 10881 12090 14508 15210 15717 16740 18135 18252 20956 21762 22815 24180 26195 30420 31434 36270 43524 45630 47151 52390 54405 62868 72540 78585 91260 94302 104780 108810 141453 157170 188604 217620 235755 282906 314340 471510 565812 707265 943020 1414530 2829060