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68808600 = 233252743127
BaseRepresentation
bin1000001100111…
…10111110011000
311210110211122200
410012132332120
5120103333400
610454450200
71463602110
oct406367630
9153424580
1068808600
1135927a13
121b063960
1311342463
1491d2040
156092b00
hex419ef98

68808600 has 288 divisors, whose sum is σ = 272363520. Its totient is φ = 15240960.

The previous prime is 68808563. The next prime is 68808613. The reversal of 68808600 is 680886.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 541737 + ... + 541863.

Almost surely, 268808600 is an apocalyptic number.

68808600 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 68808600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136181760).

68808600 is an abundant number, since it is smaller than the sum of its proper divisors (203554920).

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

68808600 is a wasteful number, since it uses less digits than its factorization.

68808600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 68808600 is about 8295.0949361656. The cubic root of 68808600 is about 409.7769955224.

The spelling of 68808600 in words is "sixty-eight million, eight hundred eight thousand, six hundred".