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68079001 = 3722232
BaseRepresentation
bin1000000111011…
…00110110011001
311202002202211111
410003230312121
5114412012001
610431100321
71454443024
oct403546631
9152082744
1068079001
1135479841
121a9716a1
1311148343
1490821bb
155e9b851
hex40ecd99

68079001 has 9 divisors (see below), whose sum is σ = 70283871. Its totient is φ = 65941992.

The previous prime is 68078993. The next prime is 68079023. The reversal of 68079001 is 10097086.

The square root of 68079001 is 8251.

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., 60918025 + 7160976 = 7805^2 + 2676^2 .

It is not a de Polignac number, because 68079001 - 23 = 68078993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68079041) 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, 305176 + ... + 305398.

It is an arithmetic number, because the mean of its divisors is an integer number (7809319).

Almost surely, 268079001 is an apocalyptic number.

68079001 is the 8251-st square number.

68079001 is the 4126-th centered octagonal number.

It is an amenable number.

68079001 is a deficient number, since it is larger than the sum of its proper divisors (2204870).

68079001 is an frugal number, since it uses more digits than its factorization.

68079001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The cubic root of 68079001 is about 408.3235151140.

The spelling of 68079001 in words is "sixty-eight million, seventy-nine thousand, one".

Divisors: 1 37 223 1369 8251 49729 305287 1839973 68079001