Search a number
-
+
27087372 = 22341359109
BaseRepresentation
bin110011101010…
…1001000001100
31212222011220000
41213111020030
523413243442
62404324300
7446144634
oct147251014
955864800
1027087372
1114321164
1290a3690
1357c5340
1438516c4
1525a0d4c
hex19d520c

27087372 has 120 divisors (see below), whose sum is σ = 78262800. Its totient is φ = 8118144.

The previous prime is 27087337. The next prime is 27087373. The reversal of 27087372 is 27378072.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27087373) 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 39 ways as a sum of consecutive naturals, for example, 248454 + ... + 248562.

It is an arithmetic number, because the mean of its divisors is an integer number (652190).

Almost surely, 227087372 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 27087372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39131400).

27087372 is an abundant number, since it is smaller than the sum of its proper divisors (51175428).

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

27087372 is a wasteful number, since it uses less digits than its factorization.

27087372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 27087372 is about 5204.5530067432. The cubic root of 27087372 is about 300.3232515696.

The spelling of 27087372 in words is "twenty-seven million, eighty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 78 81 108 109 117 118 156 162 177 218 234 236 324 327 351 354 436 468 531 654 702 708 767 981 1053 1062 1308 1404 1417 1534 1593 1962 2106 2124 2301 2834 2943 3068 3186 3924 4212 4251 4602 4779 5668 5886 6372 6431 6903 8502 8829 9204 9558 11772 12753 12862 13806 17004 17658 19116 19293 20709 25506 25724 27612 35316 38259 38586 41418 51012 57879 62127 76518 77172 82836 83603 114777 115758 124254 153036 167206 173637 229554 231516 248508 250809 334412 347274 459108 501618 520911 694548 752427 1003236 1041822 1504854 2083644 2257281 3009708 4514562 6771843 9029124 13543686 27087372