[go: up one dir, main page]

Search a number
-
+
27302850 = 23252174383
BaseRepresentation
bin110100000100…
…1101111000010
31220101010110200
41220021233002
523442142400
62413110030
7451033101
oct150115702
956333420
1027302850
1114459043
129188316
13586c443
1438aa038
1525e4b00
hex1a09bc2

27302850 has 144 divisors (see below), whose sum is σ = 80432352. Its totient is φ = 6612480.

The previous prime is 27302839. The next prime is 27302851. The reversal of 27302850 is 5820372.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27302851) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 328909 + ... + 328991.

It is an arithmetic number, because the mean of its divisors is an integer number (558558).

Almost surely, 227302850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27302850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40216176).

27302850 is an abundant number, since it is smaller than the sum of its proper divisors (53129502).

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

27302850 is a wasteful number, since it uses less digits than its factorization.

27302850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 27302850 is about 5225.2129143222. The cubic root of 27302850 is about 301.1174988193.

The spelling of 27302850 in words is "twenty-seven million, three hundred two thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 43 45 50 51 75 83 85 86 90 102 129 150 153 166 170 215 225 249 255 258 306 387 415 425 430 450 498 510 645 731 747 765 774 830 850 1075 1245 1275 1290 1411 1462 1494 1530 1935 2075 2150 2193 2490 2550 2822 3225 3569 3655 3735 3825 3870 4150 4233 4386 6225 6450 6579 7055 7138 7310 7470 7650 8466 9675 10707 10965 12450 12699 13158 14110 17845 18275 18675 19350 21165 21414 21930 25398 32121 32895 35275 35690 36550 37350 42330 53535 54825 60673 63495 64242 65790 70550 89225 105825 107070 109650 121346 126990 160605 164475 178450 182019 211650 267675 303365 317475 321210 328950 364038 535350 546057 606730 634950 803025 910095 1092114 1516825 1606050 1820190 2730285 3033650 4550475 5460570 9100950 13651425 27302850