Search a number
-
+
27416214 = 2327317019
BaseRepresentation
bin110100010010…
…1011010010110
31220120212222100
41220211122112
524004304324
62415342530
7452014440
oct150453226
956525870
1027416214
1114526231
129221a46
1358abc17
1438d9490
1526184c9
hex1a25696

27416214 has 48 divisors (see below), whose sum is σ = 70087680. Its totient is φ = 7579440.

The previous prime is 27416197. The next prime is 27416219. The reversal of 27416214 is 41261472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27416219) 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, 397 + ... + 7415.

It is an arithmetic number, because the mean of its divisors is an integer number (1460160).

Almost surely, 227416214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27416214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35043840).

27416214 is an abundant number, since it is smaller than the sum of its proper divisors (42671466).

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

27416214 is a wasteful number, since it uses less digits than its factorization.

27416214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7065 (or 7062 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 27416214 is about 5236.0494650070. The cubic root of 27416214 is about 301.5336793973.

Adding to 27416214 its reverse (41261472), we get a palindrome (68677686).

The spelling of 27416214 in words is "twenty-seven million, four hundred sixteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 7019 14038 21057 42114 49133 63171 98266 126342 147399 217589 294798 435178 442197 652767 884394 1305534 1523123 1958301 3046246 3916602 4569369 9138738 13708107 27416214