Search a number
-
+
214120739 = 7237891327
BaseRepresentation
bin11001100001100…
…11100100100011
3112220220110102202
430300303210203
5414303330424
633125203415
75206665500
oct1460634443
9486813382
10214120739
11aa958098
125b86056b
133548c681
142061a4a7
1513be82ae
hexcc33923

214120739 has 24 divisors (see below), whose sum is σ = 258880320. Its totient is φ = 176432256.

The previous prime is 214120727. The next prime is 214120783. The reversal of 214120739 is 937021412.

It is a de Polignac number, because none of the positive numbers 2k-214120739 is a prime.

It is a super-2 number, since 2×2141207392 = 91695381739812242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214120789) 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 23 ways as a sum of consecutive naturals, for example, 160694 + ... + 162020.

It is an arithmetic number, because the mean of its divisors is an integer number (10786680).

Almost surely, 2214120739 is an apocalyptic number.

214120739 is a deficient number, since it is larger than the sum of its proper divisors (44759581).

214120739 is a wasteful number, since it uses less digits than its factorization.

214120739 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 214120739 is about 14632.8650304716. The cubic root of 214120739 is about 598.2548726572.

The spelling of 214120739 in words is "two hundred fourteen million, one hundred twenty thousand, seven hundred thirty-nine".

Divisors: 1 7 37 49 89 259 623 1327 1813 3293 4361 9289 23051 49099 65023 118103 161357 343693 826721 2405851 4369811 5787047 30588677 214120739