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68672268 = 22327733733
BaseRepresentation
bin1000001011111…
…01101100001100
311210012220122100
410011331230030
5120040003033
610451515100
71462463460
oct405755414
9153186570
1068672268
1135844545
121abb8a90
13112c53a2
1491984a0
156067513
hex417db0c

68672268 has 72 divisors (see below), whose sum is σ = 201158048. Its totient is φ = 19346688.

The previous prime is 68672249. The next prime is 68672269. The reversal of 68672268 is 86227686.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (68672269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16530 + ... + 20262.

Almost surely, 268672268 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 68672268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100579024).

68672268 is an abundant number, since it is smaller than the sum of its proper divisors (132485780).

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

68672268 is a wasteful number, since it uses less digits than its factorization.

68672268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3818 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 68672268 is about 8286.8732342181. The cubic root of 68672268 is about 409.5061831821.

The spelling of 68672268 in words is "sixty-eight million, six hundred seventy-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1314 1533 2044 2628 3066 3733 4599 6132 7466 9198 11199 14932 18396 22398 26131 33597 44796 52262 67194 78393 104524 134388 156786 235179 272509 313572 470358 545018 817527 940716 1090036 1635054 1907563 2452581 3270108 3815126 4905162 5722689 7630252 9810324 11445378 17168067 22890756 34336134 68672268