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68423040 = 2732571697
BaseRepresentation
bin1000001010000…
…00110110000000
311202202020202200
410011000312000
5120004014130
610442313200
71460405040
oct405006600
9152666680
1068423040
1135694274
121aab8800
1311238b0a
149131720
156018760
hex4140d80

68423040 has 192 divisors, whose sum is σ = 270185760. Its totient is φ = 15630336.

The previous prime is 68423039. The next prime is 68423051. The reversal of 68423040 is 4032486.

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

It is a junction number, because it is equal to n+sod(n) for n = 68422995 and 68423013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39472 + ... + 41168.

Almost surely, 268423040 is an apocalyptic number.

68423040 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 68423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135092880).

68423040 is an abundant number, since it is smaller than the sum of its proper divisors (201762720).

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

68423040 is a wasteful number, since it uses less digits than its factorization.

68423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 68423040 is about 8271.8220483760. The cubic root of 68423040 is about 409.0101842065.

The spelling of 68423040 in words is "sixty-eight million, four hundred twenty-three thousand, forty".