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216007 = 1173269
BaseRepresentation
bin110100101111000111
3101222022021
4310233013
523403012
64344011
71556521
oct645707
9358267
10216007
11138320
12a5007
137741c
1458a11
1544007
hex34bc7

216007 has 8 divisors (see below), whose sum is σ = 239760. Its totient is φ = 192960.

The previous prime is 215983. The next prime is 216023. The reversal of 216007 is 700612.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-216007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216037) 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 7 ways as a sum of consecutive naturals, for example, 669 + ... + 937.

It is an arithmetic number, because the mean of its divisors is an integer number (29970).

216007 is a Friedman number, since it can be written as 60^(2+1+0)+7, using all its digits and the basic arithmetic operations.

2216007 is an apocalyptic number.

216007 is a deficient number, since it is larger than the sum of its proper divisors (23753).

216007 is a wasteful number, since it uses less digits than its factorization.

216007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 216007 is about 464.7655322848. The cubic root of 216007 is about 60.0006481411. Note that the first 3 decimals are identical.

Adding to 216007 its reverse (700612), we get a palindrome (916619).

The spelling of 216007 in words is "two hundred sixteen thousand, seven".

Divisors: 1 11 73 269 803 2959 19637 216007