Search a number
-
+
27416741 = 1131374153
BaseRepresentation
bin110100010010…
…1100010100101
31220120220200212
41220211202211
524004313431
62415345205
7452016122
oct150454245
956526625
1027416741
1114526670
129222205
1358ac231
1438d9749
15261872b
hex1a258a5

27416741 has 32 divisors (see below), whose sum is σ = 33094656. Its totient is φ = 22464000.

The previous prime is 27416737. The next prime is 27416743. The reversal of 27416741 is 14761472.

It is a cyclic number.

It is not a de Polignac number, because 27416741 - 22 = 27416737 is a prime.

It is a super-2 number, since 2×274167412 = 1503355374122162, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27416698 and 27416707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27416743) 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 31 ways as a sum of consecutive naturals, for example, 517271 + ... + 517323.

It is an arithmetic number, because the mean of its divisors is an integer number (1034208).

Almost surely, 227416741 is an apocalyptic number.

It is an amenable number.

27416741 is a deficient number, since it is larger than the sum of its proper divisors (5677915).

27416741 is a wasteful number, since it uses less digits than its factorization.

27416741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173.

The product of its digits is 9408, while the sum is 32.

The square root of 27416741 is about 5236.0997889651. The cubic root of 27416741 is about 301.5356114320.

The spelling of 27416741 in words is "twenty-seven million, four hundred sixteen thousand, seven hundred forty-one".

Divisors: 1 11 31 37 41 53 341 407 451 583 1147 1271 1517 1643 1961 2173 12617 13981 16687 18073 21571 23903 47027 60791 67363 80401 517297 668701 740993 884411 2492431 27416741