[go: up one dir, main page]

Search a number
-
+
68194560 = 283574359
BaseRepresentation
bin1000001000010…
…01000100000000
311202022122100110
410010021010000
5114424211220
610433351320
71455433650
oct404110400
9152278313
1068194560
1135548645
121aa08540
1311188b15
1490b2360
155ec0be0
hex4109100

68194560 has 288 divisors, whose sum is σ = 259015680. Its totient is φ = 14966784.

The previous prime is 68194541. The next prime is 68194561. The reversal of 68194560 is 6549186.

It is not an unprimeable number, because it can be changed into a prime (68194561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1155811 + ... + 1155869.

It is an arithmetic number, because the mean of its divisors is an integer number (899360).

Almost surely, 268194560 is an apocalyptic number.

68194560 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 68194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129507840).

68194560 is an abundant number, since it is smaller than the sum of its proper divisors (190821120).

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

68194560 is a wasteful number, since it uses less digits than its factorization.

68194560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 68194560 is about 8257.9997578106. Note that the first 3 decimals coincide. The cubic root of 68194560 is about 408.5544173678.

The spelling of 68194560 in words is "sixty-eight million, one hundred ninety-four thousand, five hundred sixty".