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68236380 = 223252331627
BaseRepresentation
bin1000001000100…
…11010001011100
311202101202201100
410010103101130
5114432031010
610434313100
71455666612
oct404232134
9152352640
1068236380
1135577003
121aa28790
13111a1b74
1490c36b2
155ecd2c0
hex411345c

68236380 has 72 divisors (see below), whose sum is σ = 207999792. Its totient is φ = 18107136.

The previous prime is 68236379. The next prime is 68236381. The reversal of 68236380 is 8363286.

It is an interprime number because it is at equal distance from previous prime (68236379) and next prime (68236381).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68236381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41127 + ... + 42753.

It is an arithmetic number, because the mean of its divisors is an integer number (2888886).

Almost surely, 268236380 is an apocalyptic number.

68236380 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 68236380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103999896).

68236380 is an abundant number, since it is smaller than the sum of its proper divisors (139763412).

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

68236380 is a wasteful number, since it uses less digits than its factorization.

68236380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 68236380 is about 8260.5314599001. The cubic root of 68236380 is about 408.6379150072.

It can be divided in two parts, 6823 and 6380, that added together give a triangular number (13203 = T162).

The spelling of 68236380 in words is "sixty-eight million, two hundred thirty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 466 699 932 1165 1398 1627 2097 2330 2796 3254 3495 4194 4660 4881 6508 6990 8135 8388 9762 10485 13980 14643 16270 19524 20970 24405 29286 32540 41940 48810 58572 73215 97620 146430 292860 379091 758182 1137273 1516364 1895455 2274546 3411819 3790910 4549092 5686365 6823638 7581820 11372730 13647276 17059095 22745460 34118190 68236380