Search a number
-
+
27301274 = 27111321049
BaseRepresentation
bin110100000100…
…1010110011010
31220101001022022
41220021112122
523442120044
62413054442
7451025360
oct150112632
956331268
1027301274
1114457940
129187422
13586b800
1438a9630
1525e43ee
hex1a0959a

27301274 has 48 divisors (see below), whose sum is σ = 55339200. Its totient is φ = 9809280.

The previous prime is 27301249. The next prime is 27301279. The reversal of 27301274 is 47210372.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27301279) 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 23 ways as a sum of consecutive naturals, for example, 25502 + ... + 26550.

It is an arithmetic number, because the mean of its divisors is an integer number (1152900).

Almost surely, 227301274 is an apocalyptic number.

27301274 is an abundant number, since it is smaller than the sum of its proper divisors (28037926).

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

27301274 is a wasteful number, since it uses less digits than its factorization.

27301274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 27301274 is about 5225.0621048941. The cubic root of 27301274 is about 301.1117049149. Note that the first 3 decimals are identical.

It can be divided in two parts, 2730 and 1274, that added together give a palindrome (4004).

The spelling of 27301274 in words is "twenty-seven million, three hundred one thousand, two hundred seventy-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 169 182 286 338 1001 1049 1183 1859 2002 2098 2366 3718 7343 11539 13013 13637 14686 23078 26026 27274 80773 95459 150007 161546 177281 190918 300014 354562 1050049 1240967 1950091 2100098 2481934 3900182 13650637 27301274