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68824119 = 37132397113
BaseRepresentation
bin1000001101000…
…10110000110111
311210111121221110
410012202300313
5120104332434
610455050103
71463665260
oct406426067
9153447843
1068824119
1135938641
121b070933
1311349540
1491d7967
1560974e9
hex41a2c37

68824119 has 64 divisors (see below), whose sum is σ = 120121344. Its totient is φ = 34062336.

The previous prime is 68824103. The next prime is 68824141. The reversal of 68824119 is 91142886.

It is not a de Polignac number, because 68824119 - 24 = 68824103 is a prime.

It is a super-2 number, since 2×688241192 = 9473518712252322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (27648) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68824319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609007 + ... + 609119.

It is an arithmetic number, because the mean of its divisors is an integer number (1876896).

Almost surely, 268824119 is an apocalyptic number.

68824119 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

68824119 is a deficient number, since it is larger than the sum of its proper divisors (51297225).

68824119 is a wasteful number, since it uses less digits than its factorization.

68824119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256.

The product of its digits is 27648, while the sum is 39.

The square root of 68824119 is about 8296.0303157595. The cubic root of 68824119 is about 409.8078000593.

The spelling of 68824119 in words is "sixty-eight million, eight hundred twenty-four thousand, one hundred nineteen".

Divisors: 1 3 7 13 21 23 39 69 91 97 113 161 273 291 299 339 483 679 791 897 1261 1469 2037 2093 2231 2373 2599 3783 4407 6279 6693 7797 8827 10283 10961 15617 18193 26481 29003 30849 32883 33787 46851 54579 76727 87009 101361 142493 203021 230181 236509 252103 427479 609063 709527 756309 997451 1764721 2992353 3277339 5294163 9832017 22941373 68824119