Search a number
-
+
27329064 = 23372171367
BaseRepresentation
bin110100001000…
…0001000101000
31220102110102120
41220100020220
523444012224
62413431240
7451202400
oct150201050
956373376
1027329064
1114476804
12919b520
13587b359
1438b5800
1525ec779
hex1a10228

27329064 has 96 divisors (see below), whose sum is σ = 84214080. Its totient is φ = 7343616.

The previous prime is 27329063. The next prime is 27329101. The reversal of 27329064 is 46092372.

It is not an unprimeable number, because it can be changed into a prime (27329063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19309 + ... + 20675.

It is an arithmetic number, because the mean of its divisors is an integer number (877230).

Almost surely, 227329064 is an apocalyptic number.

27329064 is a gapful number since it is divisible by the number (24) 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 27329064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42107040).

27329064 is an abundant number, since it is smaller than the sum of its proper divisors (56885016).

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

27329064 is a wasteful number, since it uses less digits than its factorization.

27329064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 27329064 is about 5227.7207270473. The cubic root of 27329064 is about 301.2138375926.

The spelling of 27329064 in words is "twenty-seven million, three hundred twenty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1367 1428 1666 2499 2734 2856 3332 4101 4998 5468 6664 8202 9569 9996 10936 16404 19138 19992 23239 28707 32808 38276 46478 57414 66983 69717 76552 92956 114828 133966 139434 162673 185912 200949 229656 267932 278868 325346 401898 488019 535864 557736 650692 803796 976038 1138711 1301384 1607592 1952076 2277422 3416133 3904152 4554844 6832266 9109688 13664532 27329064