Search a number
-
+
27118320 = 2435192313
BaseRepresentation
bin110011101110…
…0101011110000
31220000202100020
41213130223300
523420241240
62405123440
7446334105
oct147345360
956022306
1027118320
1114342439
1290b9580
135806458
14385caac
1525aa0d0
hex19dcaf0

27118320 has 120 divisors (see below), whose sum is σ = 89007696. Its totient is φ = 6829056.

The previous prime is 27118319. The next prime is 27118363. The reversal of 27118320 is 2381172.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86484 + ... + 86796.

Almost surely, 227118320 is an apocalyptic number.

27118320 is a gapful number since it is divisible by the number (20) 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 27118320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44503848).

27118320 is an abundant number, since it is smaller than the sum of its proper divisors (61889376).

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

27118320 is a wasteful number, since it uses less digits than its factorization.

27118320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 27118320 is about 5207.5253239903. The cubic root of 27118320 is about 300.4375836471.

Adding to 27118320 its reverse (2381172), we get a palindrome (29499492).

The spelling of 27118320 in words is "twenty-seven million, one hundred eighteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 313 361 380 456 570 626 722 760 912 939 1083 1140 1252 1444 1520 1565 1805 1878 2166 2280 2504 2888 3130 3610 3756 4332 4560 4695 5008 5415 5776 5947 6260 7220 7512 8664 9390 10830 11894 12520 14440 15024 17328 17841 18780 21660 23788 25040 28880 29735 35682 37560 43320 47576 59470 71364 75120 86640 89205 95152 112993 118940 142728 178410 225986 237880 285456 338979 356820 451972 475760 564965 677958 713640 903944 1129930 1355916 1427280 1694895 1807888 2259860 2711832 3389790 4519720 5423664 6779580 9039440 13559160 27118320