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27311214 = 23717291319
BaseRepresentation
bin110100000101…
…1110001101110
31220101112221110
41220023301232
523442424324
62413212450
7451066350
oct150136156
956345843
1027311214
1114464357
129191126
1358731a8
1438ad0d0
1525e7329
hex1a0bc6e

27311214 has 64 divisors (see below), whose sum is σ = 68428800. Its totient is φ = 7085568.

The previous prime is 27311213. The next prime is 27311239. The reversal of 27311214 is 41211372.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27311213) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20047 + ... + 21365.

It is an arithmetic number, because the mean of its divisors is an integer number (1069200).

Almost surely, 227311214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27311214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34214400).

27311214 is an abundant number, since it is smaller than the sum of its proper divisors (41117586).

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

27311214 is a wasteful number, since it uses less digits than its factorization.

27311214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377.

The product of its digits is 336, while the sum is 21.

The square root of 27311214 is about 5226.0132031980. The cubic root of 27311214 is about 301.1482439567.

Adding to 27311214 its reverse (41211372), we get a palindrome (68522586).

The spelling of 27311214 in words is "twenty-seven million, three hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 51 58 87 102 119 174 203 238 357 406 493 609 714 986 1218 1319 1479 2638 2958 3451 3957 6902 7914 9233 10353 18466 20706 22423 27699 38251 44846 55398 67269 76502 114753 134538 156961 229506 267757 313922 470883 535514 650267 803271 941766 1300534 1606542 1950801 3901602 4551869 9103738 13655607 27311214