Search a number
-
+
214056071 = 1959257743
BaseRepresentation
bin11001100001000…
…11110010000111
3112220210011201122
430300203302013
5414244243241
633123544155
75206306115
oct1460436207
9486704648
10214056071
11aa913549
125b82b05b
13354690c8
1420600ab5
1513bd404b
hexcc23c87

214056071 has 16 divisors (see below), whose sum is σ = 230342400. Its totient is φ = 198309888.

The previous prime is 214056049. The next prime is 214056077. The reversal of 214056071 is 170650412.

It is a cyclic number.

It is not a de Polignac number, because 214056071 - 210 = 214055047 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 214056071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214056077) 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 15 ways as a sum of consecutive naturals, for example, 287726 + ... + 288468.

It is an arithmetic number, because the mean of its divisors is an integer number (14396400).

Almost surely, 2214056071 is an apocalyptic number.

214056071 is a deficient number, since it is larger than the sum of its proper divisors (16286329).

214056071 is a wasteful number, since it uses less digits than its factorization.

214056071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 214056071 is about 14630.6551801346. The cubic root of 214056071 is about 598.1946389751.

The spelling of 214056071 in words is "two hundred fourteen million, fifty-six thousand, seventy-one".

Divisors: 1 19 59 257 743 1121 4883 14117 15163 43837 190951 288097 832903 3628069 11266109 214056071