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68780192 = 25131011637
BaseRepresentation
bin1000001100110…
…00000010100000
311210102101200112
410012120002200
5120101431232
610454110452
71463423225
oct406300240
9153371615
1068780192
1135908638
121b04b428
1311332550
1491c594c
1560894b2
hex41980a0

68780192 has 48 divisors (see below), whose sum is σ = 147361032. Its totient is φ = 31411200.

The previous prime is 68780183. The next prime is 68780219. The reversal of 68780192 is 29108786.

It can be written as a sum of positive squares in 4 ways, for example, as 46840336 + 21939856 = 6844^2 + 4684^2 .

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 7 ways as a sum of consecutive naturals, for example, 41198 + ... + 42834.

Almost surely, 268780192 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 68780192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73680516).

68780192 is an abundant number, since it is smaller than the sum of its proper divisors (78580840).

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

68780192 is a wasteful number, since it uses less digits than its factorization.

68780192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 68780192 is about 8293.3824221484. The cubic root of 68780192 is about 409.7205948823.

The spelling of 68780192 in words is "sixty-eight million, seven hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 404 416 808 1313 1616 1637 2626 3232 3274 5252 6548 10504 13096 21008 21281 26192 42016 42562 52384 85124 165337 170248 330674 340496 661348 680992 1322696 2149381 2645392 4298762 5290784 8597524 17195048 34390096 68780192