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214035 = 3519751
BaseRepresentation
bin110100010000010011
3101212121020
4310100103
523322120
64330523
71551003
oct642023
9355536
10214035
11136898
12a3a43
1376563
1458003
1543640
hex34413

214035 has 16 divisors (see below), whose sum is σ = 360960. Its totient is φ = 108000.

The previous prime is 214033. The next prime is 214043. The reversal of 214035 is 530412.

It is not a de Polignac number, because 214035 - 21 = 214033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

214035 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214035.

It is not an unprimeable number, because it can be changed into a prime (214031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (22560).

2214035 is an apocalyptic number.

214035 is a deficient number, since it is larger than the sum of its proper divisors (146925).

214035 is a wasteful number, since it uses less digits than its factorization.

214035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 214035 is about 462.6391682510. The cubic root of 214035 is about 59.8175010204.

Adding to 214035 its reverse (530412), we get a palindrome (744447).

The spelling of 214035 in words is "two hundred fourteen thousand, thirty-five".

Divisors: 1 3 5 15 19 57 95 285 751 2253 3755 11265 14269 42807 71345 214035