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68712300 = 22345217499
BaseRepresentation
bin1000001100001…
…11011101101100
311210021221120000
410012013131230
5120042243200
610452424300
71463021256
oct406073554
9153257500
1068712300
1135871628
121b018090
131130a687
1491a8cd6
156074300
hex418776c

68712300 has 180 divisors, whose sum is σ = 236313000. Its totient is φ = 17210880.

The previous prime is 68712299. The next prime is 68712307. The reversal of 68712300 is 321786.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (68712307) 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 59 ways as a sum of consecutive naturals, for example, 137451 + ... + 137949.

It is an arithmetic number, because the mean of its divisors is an integer number (1312850).

Almost surely, 268712300 is an apocalyptic number.

68712300 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 68712300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118156500).

68712300 is an abundant number, since it is smaller than the sum of its proper divisors (167600700).

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

68712300 is a wasteful number, since it uses less digits than its factorization.

68712300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 68712300 is about 8289.2882686030. The cubic root of 68712300 is about 409.5857406103.

The spelling of 68712300 in words is "sixty-eight million, seven hundred twelve thousand, three hundred".