Search a number
-
+
27023724 = 223271373113
BaseRepresentation
bin110011100010…
…1100101101100
31212211221120200
41213011211230
523404224344
62403113500
7445461240
oct147054554
955757520
1027023724
1114288362
129072890
1357a2390
143836420
15258c069
hex19c596c

27023724 has 144 divisors (see below), whose sum is σ = 85979712. Its totient is φ = 6967296.

The previous prime is 27023707. The next prime is 27023747. The reversal of 27023724 is 42732072.

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 47 ways as a sum of consecutive naturals, for example, 239092 + ... + 239204.

Almost surely, 227023724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27023724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42989856).

27023724 is an abundant number, since it is smaller than the sum of its proper divisors (58955988).

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

27023724 is a wasteful number, since it uses less digits than its factorization.

27023724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 27023724 is about 5198.4347644267. The cubic root of 27023724 is about 300.0878409441.

Adding to 27023724 its reverse (42732072), we get a palindrome (69755796).

The spelling of 27023724 in words is "twenty-seven million, twenty-three thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 73 78 84 91 113 117 126 146 156 182 219 226 234 252 273 292 339 364 438 452 468 511 546 657 678 791 819 876 949 1017 1022 1092 1314 1356 1469 1533 1582 1638 1898 2034 2044 2373 2628 2847 2938 3066 3164 3276 3796 4068 4407 4599 4746 5694 5876 6132 6643 7119 8249 8541 8814 9198 9492 10283 11388 13221 13286 14238 16498 17082 17628 18396 19929 20566 24747 26442 26572 28476 30849 32996 34164 39858 41132 49494 52884 57743 59787 61698 74241 79716 92547 98988 107237 115486 119574 123396 148482 173229 185094 214474 230972 239148 296964 321711 346458 370188 428948 519687 643422 692916 750659 965133 1039374 1286844 1501318 1930266 2078748 2251977 3002636 3860532 4503954 6755931 9007908 13511862 27023724