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840213 = 34112341
BaseRepresentation
bin11001101001000010101
31120200120000
43031020111
5203341323
630001513
710066413
oct3151025
91520500
10840213
115242a0
12346299
1323558a
1417c2b3
15118e43
hexcd215

840213 has 40 divisors (see below), whose sum is σ = 1463616. Its totient is φ = 475200.

The previous prime is 840197. The next prime is 840223. The reversal of 840213 is 312048.

It is a happy number.

It is not a de Polignac number, because 840213 - 24 = 840197 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20473 + ... + 20513.

2840213 is an apocalyptic number.

It is an amenable number.

840213 is a deficient number, since it is larger than the sum of its proper divisors (623403).

840213 is a wasteful number, since it uses less digits than its factorization.

840213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 840213 is about 916.6313326523. The cubic root of 840213 is about 94.3618540817.

The spelling of 840213 in words is "eight hundred forty thousand, two hundred thirteen".

Divisors: 1 3 9 11 23 27 33 41 69 81 99 123 207 253 297 369 451 621 759 891 943 1107 1353 1863 2277 2829 3321 4059 6831 8487 10373 12177 20493 25461 31119 36531 76383 93357 280071 840213