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68206000 = 245367509
BaseRepresentation
bin1000001000010…
…11110110110000
311202100020001011
410010023312300
5114430043000
610433520304
71455512212
oct404136660
9152306034
1068206000
11355561a5
121aa13094
13111910a5
1490b65b2
155ec42ba
hex410bdb0

68206000 has 80 divisors (see below), whose sum is σ = 167712480. Its totient is φ = 26822400.

The previous prime is 68205967. The next prime is 68206003. The reversal of 68206000 is 60286.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (68206003) 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 15 ways as a sum of consecutive naturals, for example, 133746 + ... + 134254.

It is an arithmetic number, because the mean of its divisors is an integer number (2096406).

Almost surely, 268206000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83856240).

68206000 is an abundant number, since it is smaller than the sum of its proper divisors (99506480).

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

68206000 is a wasteful number, since it uses less digits than its factorization.

68206000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 68206000 is about 8258.6923904454. The cubic root of 68206000 is about 408.5772618157.

Adding to 68206000 its reverse (60286), we get a palindrome (68266286).

The spelling of 68206000 in words is "sixty-eight million, two hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 509 536 670 1000 1018 1072 1340 1675 2000 2036 2545 2680 3350 4072 5090 5360 6700 8144 8375 10180 12725 13400 16750 20360 25450 26800 33500 34103 40720 50900 63625 67000 68206 101800 127250 134000 136412 170515 203600 254500 272824 341030 509000 545648 682060 852575 1018000 1364120 1705150 2728240 3410300 4262875 6820600 8525750 13641200 17051500 34103000 68206000