Search a number
-
+
68226060 = 22357612663
BaseRepresentation
bin1000001000100…
…00110000001100
311202101020120010
410010100300030
5114431213220
610434153220
71455624540
oct404206014
9152336503
1068226060
113556a281
121aa22810
131119a266
1490bda20
155eca1e0
hex4110c0c

68226060 has 96 divisors (see below), whose sum is σ = 221985792. Its totient is φ = 15333120.

The previous prime is 68226031. The next prime is 68226061. The reversal of 68226060 is 6062286.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (68226061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24289 + ... + 26951.

It is an arithmetic number, because the mean of its divisors is an integer number (2312352).

Almost surely, 268226060 is an apocalyptic number.

68226060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68226060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110992896).

68226060 is an abundant number, since it is smaller than the sum of its proper divisors (153759732).

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

68226060 is a wasteful number, since it uses less digits than its factorization.

68226060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 68226060 is about 8259.9067791350. The cubic root of 68226060 is about 408.6173133091.

It can be divided in two parts, 68 and 226060, that added together give a triangular number (226128 = T672).

The spelling of 68226060 in words is "sixty-eight million, two hundred twenty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 366 420 427 610 732 854 915 1220 1281 1708 1830 2135 2562 2663 3660 4270 5124 5326 6405 7989 8540 10652 12810 13315 15978 18641 25620 26630 31956 37282 39945 53260 55923 74564 79890 93205 111846 159780 162443 186410 223692 279615 324886 372820 487329 559230 649772 812215 974658 1118460 1137101 1624430 1949316 2274202 2436645 3248860 3411303 4548404 4873290 5685505 6822606 9746580 11371010 13645212 17056515 22742020 34113030 68226060