Search a number
-
+
27328104 = 2334181233
BaseRepresentation
bin110100000111…
…1111001101000
31220102102010000
41220033321220
523443444404
62413423000
7451166526
oct150177150
956372100
1027328104
1114476011
12919aa60
13587aa9b
1438b5316
1525ec339
hex1a0fe68

27328104 has 80 divisors (see below), whose sum is σ = 77297220. Its totient is φ = 9020160.

The previous prime is 27328097. The next prime is 27328111. The reversal of 27328104 is 40182372.

It is an interprime number because it is at equal distance from previous prime (27328097) and next prime (27328111).

It can be written as a sum of positive squares in 2 ways, for example, as 21068100 + 6260004 = 4590^2 + 2502^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 117172 + ... + 117404.

Almost surely, 227328104 is an apocalyptic number.

27328104 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 27328104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38648610).

27328104 is an abundant number, since it is smaller than the sum of its proper divisors (49969116).

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

27328104 is a wasteful number, since it uses less digits than its factorization.

27328104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27328104 is about 5227.6289080232. The cubic root of 27328104 is about 301.2103105945.

The spelling of 27328104 in words is "twenty-seven million, three hundred twenty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 181 216 233 324 362 466 543 648 699 724 932 1086 1398 1448 1629 1864 2097 2172 2796 3258 4194 4344 4887 5592 6291 6516 8388 9774 12582 13032 14661 16776 18873 19548 25164 29322 37746 39096 42173 50328 58644 75492 84346 117288 126519 150984 168692 253038 337384 379557 506076 759114 1012152 1138671 1518228 2277342 3036456 3416013 4554684 6832026 9109368 13664052 27328104