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68738241 = 31113163983
BaseRepresentation
bin1000001100011…
…01110011000001
311210100021010210
410012031303001
5120044110431
610453144333
71463160015
oct406156301
9153307123
1068738241
113588a070
121b02b0a9
1311319420
1491b4545
15607bd46
hex418dcc1

68738241 has 32 divisors (see below), whose sum is σ = 108444672. Its totient is φ = 38180160.

The previous prime is 68738233. The next prime is 68738249. The reversal of 68738241 is 14283786.

It is an interprime number because it is at equal distance from previous prime (68738233) and next prime (68738249).

It is not a de Polignac number, because 68738241 - 23 = 68738233 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 68738241.

It is not an unprimeable number, because it can be changed into a prime (68738249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69436 + ... + 70418.

It is an arithmetic number, because the mean of its divisors is an integer number (3388896).

Almost surely, 268738241 is an apocalyptic number.

It is an amenable number.

68738241 is a deficient number, since it is larger than the sum of its proper divisors (39706431).

68738241 is a wasteful number, since it uses less digits than its factorization.

68738241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173.

The product of its digits is 64512, while the sum is 39.

The square root of 68738241 is about 8290.8528511849. The cubic root of 68738241 is about 409.6372778502.

The spelling of 68738241 in words is "sixty-eight million, seven hundred thirty-eight thousand, two hundred forty-one".

Divisors: 1 3 11 13 33 39 143 163 429 489 983 1793 2119 2949 5379 6357 10813 12779 23309 32439 38337 69927 140569 160229 421707 480687 1762519 2082977 5287557 6248931 22912747 68738241