Search a number
-
+
29028240 = 2433589151
BaseRepresentation
bin110111010111…
…0111110010000
32000121210021000
41232232332100
524412400430
62514102000
7501510303
oct156567620
960553230
1029028240
111542738a
12987a900
136024897
143bd8b3a
152835e60
hex1baef90

29028240 has 160 divisors (see below), whose sum is σ = 101779200. Its totient is φ = 7603200.

The previous prime is 29028229. The next prime is 29028247. The reversal of 29028240 is 4282092.

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 (29028247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192165 + ... + 192315.

It is an arithmetic number, because the mean of its divisors is an integer number (636120).

Almost surely, 229028240 is an apocalyptic number.

29028240 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 29028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889600).

29028240 is an abundant number, since it is smaller than the sum of its proper divisors (72750960).

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

29028240 is a wasteful number, since it uses less digits than its factorization.

29028240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 29028240 is about 5387.7861872944. The cubic root of 29028240 is about 307.3313769129.

Adding to 29028240 its product of nonzero digits (2304), we get a square (29030544 = 53882).

The spelling of 29028240 in words is "twenty-nine million, twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 89 90 108 120 135 144 151 178 180 216 240 267 270 302 356 360 432 445 453 534 540 604 712 720 755 801 890 906 1068 1080 1208 1335 1359 1424 1510 1602 1780 1812 2136 2160 2265 2403 2416 2670 2718 3020 3204 3560 3624 4005 4077 4272 4530 4806 5340 5436 6040 6408 6795 7120 7248 8010 8154 9060 9612 10680 10872 12015 12080 12816 13439 13590 16020 16308 18120 19224 20385 21360 21744 24030 26878 27180 32040 32616 36240 38448 40317 40770 48060 53756 54360 64080 65232 67195 80634 81540 96120 107512 108720 120951 134390 161268 163080 192240 201585 215024 241902 268780 322536 326160 362853 403170 483804 537560 604755 645072 725706 806340 967608 1075120 1209510 1451412 1612680 1814265 1935216 2419020 2902824 3225360 3628530 4838040 5805648 7257060 9676080 14514120 29028240