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68215680 = 2732513911
BaseRepresentation
bin1000001000011…
…10001110000000
311202100201022200
410010032032000
5114430400210
610434033200
71455552351
oct404161600
9152321280
1068215680
11355624a5
121aa18800
1311195610
1490b9d28
155ec70c0
hex410e380

68215680 has 192 divisors, whose sum is σ = 253955520. Its totient is φ = 16773120.

The previous prime is 68215669. The next prime is 68215687. The reversal of 68215680 is 8651286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68215687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74425 + ... + 75335.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 268215680 is an apocalyptic number.

68215680 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 68215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760).

68215680 is an abundant number, since it is smaller than the sum of its proper divisors (185739840).

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

68215680 is a wasteful number, since it uses less digits than its factorization.

68215680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 68215680 is about 8259.2784188451. The cubic root of 68215680 is about 408.5965897380.

The spelling of 68215680 in words is "sixty-eight million, two hundred fifteen thousand, six hundred eighty".