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214540 = 22517631
BaseRepresentation
bin110100011000001100
3101220021221
4310120030
523331130
64333124
71552324
oct643014
9356257
10214540
11137207
12a41a4
1376861
1458284
154387a
hex3460c

214540 has 24 divisors (see below), whose sum is σ = 477792. Its totient is φ = 80640.

The previous prime is 214531. The next prime is 214541. The reversal of 214540 is 45412.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214541) 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 7 ways as a sum of consecutive naturals, for example, 25 + ... + 655.

It is an arithmetic number, because the mean of its divisors is an integer number (19908).

2214540 is an apocalyptic number.

214540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238896).

214540 is an abundant number, since it is smaller than the sum of its proper divisors (263252).

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

214540 is a wasteful number, since it uses less digits than its factorization.

214540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 214540 is about 463.1846284151. The cubic root of 214540 is about 59.8645090820.

Adding to 214540 its reverse (45412), we get a palindrome (259952).

The spelling of 214540 in words is "two hundred fourteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 631 1262 2524 3155 6310 10727 12620 21454 42908 53635 107270 214540