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68382480 = 2435284927
BaseRepresentation
bin1000001001101…
…10111100010000
311202200012010110
410010312330100
5120001214410
610441401320
71460145555
oct404667420
9152605113
1068382480
1135666851
121aa99240
131122350a
149120a2c
15600b720
hex4136f10

68382480 has 40 divisors (see below), whose sum is σ = 211986432. Its totient is φ = 18235264.

The previous prime is 68382469. The next prime is 68382481. The reversal of 68382480 is 8428386.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (68382481) 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 7 ways as a sum of consecutive naturals, for example, 142224 + ... + 142703.

Almost surely, 268382480 is an apocalyptic number.

68382480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68382480 is an abundant number, since it is smaller than the sum of its proper divisors (143603952).

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

68382480 is a wasteful number, since it uses less digits than its factorization.

68382480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284943 (or 284937 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 68382480 is about 8269.3699880946. The cubic root of 68382480 is about 408.9293501671.

The spelling of 68382480 in words is "sixty-eight million, three hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 284927 569854 854781 1139708 1424635 1709562 2279416 2849270 3419124 4273905 4558832 5698540 6838248 8547810 11397080 13676496 17095620 22794160 34191240 68382480