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68083140 = 22351134719
BaseRepresentation
bin1000000111011…
…01110111000100
311202002222111210
410003231313010
5114412130030
610431131420
71454461056
oct403556704
9152088453
1068083140
1135481964
121a973b70
131114a1a8
1490838d6
155e9cbb0
hex40eddc4

68083140 has 24 divisors (see below), whose sum is σ = 190632960. Its totient is φ = 18155488.

The previous prime is 68083139. The next prime is 68083177. The reversal of 68083140 is 4138086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 68083098 and 68083107.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 567300 + ... + 567419.

It is an arithmetic number, because the mean of its divisors is an integer number (7943040).

Almost surely, 268083140 is an apocalyptic number.

68083140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68083140 is an abundant number, since it is smaller than the sum of its proper divisors (122549820).

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

68083140 is a wasteful number, since it uses less digits than its factorization.

68083140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134731 (or 1134729 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 68083140 is about 8251.2508142705. The cubic root of 68083140 is about 408.3317898965.

The spelling of 68083140 in words is "sixty-eight million, eighty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1134719 2269438 3404157 4538876 5673595 6808314 11347190 13616628 17020785 22694380 34041570 68083140