Search a number
-
+
27193140 = 223251311621
BaseRepresentation
bin110011110111…
…0111100110100
31220011112222100
41213232330310
523430140030
62410502100
7450065202
oct147567464
956145870
1027193140
1114393677
129134930
135831520
14387c072
1525c2360
hex19eef34

27193140 has 72 divisors (see below), whose sum is σ = 88838568. Its totient is φ = 6693120.

The previous prime is 27193109. The next prime is 27193147. The reversal of 27193140 is 4139172.

It can be written as a sum of positive squares in 4 ways, for example, as 443556 + 26749584 = 666^2 + 5172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27193147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3471 + ... + 8150.

It is an arithmetic number, because the mean of its divisors is an integer number (1233869).

Almost surely, 227193140 is an apocalyptic number.

27193140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27193140 is an abundant number, since it is smaller than the sum of its proper divisors (61645428).

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

27193140 is a wasteful number, since it uses less digits than its factorization.

27193140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11649 (or 11644 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 27193140 is about 5214.7042102117. The cubic root of 27193140 is about 300.7136344071.

The spelling of 27193140 in words is "twenty-seven million, one hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 11621 23242 34863 46484 58105 69726 104589 116210 139452 151073 174315 209178 232420 302146 348630 418356 453219 522945 604292 697260 755365 906438 1045890 1359657 1510730 1812876 2091780 2266095 2719314 3021460 4532190 5438628 6798285 9064380 13596570 27193140