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68532417 = 3259312841
BaseRepresentation
bin1000001010110…
…11100011000001
311202221210210200
410011123203001
5120021014132
610444515413
71461341652
oct405334301
9152853720
1068532417
1135759468
121ab4bb69
1311276835
14915d529
15603ad7c
hex415b8c1

68532417 has 12 divisors (see below), whose sum is σ = 99165924. Its totient is φ = 45607680.

The previous prime is 68532397. The next prime is 68532437. The reversal of 68532417 is 71423586.

It is an interprime number because it is at equal distance from previous prime (68532397) and next prime (68532437).

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 31371201 = 6096^2 + 5601^2 .

It is not a de Polignac number, because 68532417 - 226 = 1423553 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (40320) is a multiple of the sum of its prime factors (13440).

It is not an unprimeable number, because it can be changed into a prime (68532437) 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 11 ways as a sum of consecutive naturals, for example, 1084 + ... + 11757.

It is an arithmetic number, because the mean of its divisors is an integer number (8263827).

Almost surely, 268532417 is an apocalyptic number.

It is an amenable number.

68532417 is a deficient number, since it is larger than the sum of its proper divisors (30633507).

68532417 is a wasteful number, since it uses less digits than its factorization.

68532417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13440 (or 13437 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 68532417 is about 8278.4308295715. The cubic root of 68532417 is about 409.2280079613.

The spelling of 68532417 in words is "sixty-eight million, five hundred thirty-two thousand, four hundred seventeen".

Divisors: 1 3 9 593 1779 5337 12841 38523 115569 7614713 22844139 68532417