Search a number
-
+
68076645 = 3571353941
BaseRepresentation
bin1000000111011…
…00010001100101
311202002122121020
410003230101211
5114411423040
610431041353
71454433120
oct403542145
9152078536
1068076645
1135477a9a
121a970259
1311147250
1490813b7
155e9acd0
hex40ec465

68076645 has 64 divisors (see below), whose sum is σ = 136733184. Its totient is φ = 28154880.

The previous prime is 68076643. The next prime is 68076647. The reversal of 68076645 is 54667086.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68076643) and next prime (68076647).

It is not a de Polignac number, because 68076645 - 21 = 68076643 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 68076597 and 68076606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68076641) 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 63 ways as a sum of consecutive naturals, for example, 71875 + ... + 72815.

It is an arithmetic number, because the mean of its divisors is an integer number (2136456).

Almost surely, 268076645 is an apocalyptic number.

68076645 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

68076645 is an abundant number, since it is smaller than the sum of its proper divisors (68656539).

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

68076645 is a wasteful number, since it uses less digits than its factorization.

68076645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022.

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 68076645 is about 8250.8572281915. The cubic root of 68076645 is about 408.3188047957.

The spelling of 68076645 in words is "sixty-eight million, seventy-six thousand, six hundred forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 53 65 91 105 159 195 265 273 371 455 689 795 941 1113 1365 1855 2067 2823 3445 4705 4823 5565 6587 10335 12233 14115 14469 19761 24115 32935 36699 49873 61165 72345 85631 98805 149619 183495 249365 256893 349111 428155 648349 748095 1047333 1284465 1745555 1945047 3241745 4538443 5236665 9725235 13615329 22692215 68076645