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68245040 = 2451734931
BaseRepresentation
bin1000001000101…
…01011000110000
311202102012121002
410010111120300
5114432320130
610434421132
71456034063
oct404253060
9152365532
1068245040
1135582566
121aa317a8
13111a5aa6
1490c68da
155ed0b45
hex4115630

68245040 has 40 divisors (see below), whose sum is σ = 159619248. Its totient is φ = 27134720.

The previous prime is 68245039. The next prime is 68245063. The reversal of 68245040 is 4054286.

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

It is a junction number, because it is equal to n+sod(n) for n = 68244994 and 68245012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11375 + ... + 16305.

Almost surely, 268245040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79809624).

68245040 is an abundant number, since it is smaller than the sum of its proper divisors (91374208).

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

68245040 is a wasteful number, since it uses less digits than its factorization.

68245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5117 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 68245040 is about 8261.0556226187. The cubic root of 68245040 is about 408.6552012635.

The spelling of 68245040 in words is "sixty-eight million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 4931 6920 9862 13840 19724 24655 39448 49310 78896 98620 197240 394480 853063 1706126 3412252 4265315 6824504 8530630 13649008 17061260 34122520 68245040