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68380200 = 233652767
BaseRepresentation
bin1000001001101…
…10011000101000
311202200002000000
410010312120220
5120001131300
610441343000
71460136120
oct404663050
9152602000
1068380200
1135665069
121aa97a60
1311222475
14911dc80
15600ac00
hex4136628

68380200 has 336 divisors, whose sum is σ = 276485280. Its totient is φ = 15396480.

The previous prime is 68380189. The next prime is 68380223. The reversal of 68380200 is 208386.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1020567 + ... + 1020633.

Almost surely, 268380200 is an apocalyptic number.

68380200 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 68380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138242640).

68380200 is an abundant number, since it is smaller than the sum of its proper divisors (208105080).

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

68380200 is a wasteful number, since it uses less digits than its factorization.

68380200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68380200 is about 8269.2321288013. The cubic root of 68380200 is about 408.9248052930.

Adding to 68380200 its reverse (208386), we get a palindrome (68588586).

The spelling of 68380200 in words is "sixty-eight million, three hundred eighty thousand, two hundred".