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68418240 = 26351121931
BaseRepresentation
bin1000001001111…
…11101011000000
311202202000011220
410010333223000
5120003340430
610442235040
71460355042
oct404775300
9152660156
1068418240
1135690700
121aab5a80
1311236887
14912da92
156017110
hex413fac0

68418240 has 336 divisors, whose sum is σ = 259445760. Its totient is φ = 15206400.

The previous prime is 68418179. The next prime is 68418247. The reversal of 68418240 is 4281486.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68418247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2207025 + ... + 2207055.

It is an arithmetic number, because the mean of its divisors is an integer number (772160).

Almost surely, 268418240 is an apocalyptic number.

68418240 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 68418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129722880).

68418240 is an abundant number, since it is smaller than the sum of its proper divisors (191027520).

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

68418240 is a wasteful number, since it uses less digits than its factorization.

68418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 68418240 is about 8271.5319016492. The cubic root of 68418240 is about 409.0006197148. Note that the first 3 decimals are identical.

The spelling of 68418240 in words is "sixty-eight million, four hundred eighteen thousand, two hundred forty".