Search a number
-
+
68383980 = 22335779229
BaseRepresentation
bin1000001001101…
…11010011101100
311202200021012000
410010313103230
5120001241410
610441412300
71460153130
oct404672354
9152607160
1068383980
1135667995
121aa9a090
13112240c2
1491213c0
15600bdc0
hex41374ec

68383980 has 192 divisors, whose sum is σ = 247296000. Its totient is φ = 15365376.

The previous prime is 68383967. The next prime is 68383981. The reversal of 68383980 is 8938386.

It is a super-4 number, since 4×683839804 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (68383981) 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 63 ways as a sum of consecutive naturals, for example, 298506 + ... + 298734.

It is an arithmetic number, because the mean of its divisors is an integer number (1288000).

Almost surely, 268383980 is an apocalyptic number.

68383980 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 68383980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123648000).

68383980 is an abundant number, since it is smaller than the sum of its proper divisors (178912020).

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

68383980 is a wasteful number, since it uses less digits than its factorization.

68383980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 68383980 is about 8269.4606837447. The cubic root of 68383980 is about 408.9323401607.

The spelling of 68383980 in words is "sixty-eight million, three hundred eighty-three thousand, nine hundred eighty".