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68667480 = 23335731293
BaseRepresentation
bin1000001011111…
…00100001011000
311210012200002000
410011330201120
5120034324410
610451441000
71462443510
oct405744130
9153180060
1068667480
1135840992
121abb6160
13112c315b
149196840
156065dc0
hex417c858

68667480 has 256 divisors, whose sum is σ = 270950400. Its totient is φ = 15137280.

The previous prime is 68667479. The next prime is 68667481. The reversal of 68667480 is 8476686.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68667479) and next prime (68667481).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68667481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234214 + ... + 234506.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 268667480 is an apocalyptic number.

68667480 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 68667480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

68667480 is an abundant number, since it is smaller than the sum of its proper divisors (202282920).

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

68667480 is a wasteful number, since it uses less digits than its factorization.

68667480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 68667480 is about 8286.5843385559. The cubic root of 68667480 is about 409.4966657003.

The spelling of 68667480 in words is "sixty-eight million, six hundred sixty-seven thousand, four hundred eighty".