Search a number
-
+
68541841 = 1724872
BaseRepresentation
bin1000001010111…
…01110110010001
311202222021201201
410011131312101
5120021314331
610445031201
71461411304
oct405356621
9152867651
1068541841
1135765555
121ab55501
131127ac04
149162b3b
15603da61
hex415dd91

68541841 has 9 divisors (see below), whose sum is σ = 72960699. Its totient is φ = 64377504.

The previous prime is 68541779. The next prime is 68541859. The reversal of 68541841 is 14814586.

The square root of 68541841 is 8279.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53363025 + 15178816 = 7305^2 + 3896^2 .

It is not a de Polignac number, because 68541841 - 29 = 68541329 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 68541841.

It is not an unprimeable number, because it can be changed into a prime (68541881) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 140500 + ... + 140986.

Almost surely, 268541841 is an apocalyptic number.

68541841 is the 8279-th square number.

68541841 is the 4140-th centered octagonal number.

It is an amenable number.

68541841 is a deficient number, since it is larger than the sum of its proper divisors (4418858).

68541841 is an frugal number, since it uses more digits than its factorization.

68541841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 504 counting only the distinct ones).

The product of its digits is 30720, while the sum is 37.

The cubic root of 68541841 is about 409.2467649630.

The spelling of 68541841 in words is "sixty-eight million, five hundred forty-one thousand, eight hundred forty-one".

Divisors: 1 17 289 487 8279 140743 237169 4031873 68541841