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68002013 = 298532749
BaseRepresentation
bin1000000110110…
…10000011011101
311201221212020002
410003122003131
5114402031023
610425304045
71454002412
oct403320335
9151855202
1068002013
1135426a12
121a935025
131111c2a1
149062109
155e83b28
hex40da0dd

68002013 has 8 divisors (see below), whose sum is σ = 70455000. Its totient is φ = 65556288.

The previous prime is 68001991. The next prime is 68002019. The reversal of 68002013 is 31020086.

It can be written as a sum of positive squares in 4 ways, for example, as 466489 + 67535524 = 683^2 + 8218^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 68002013 - 26 = 68001949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68002019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23363 + ... + 26111.

It is an arithmetic number, because the mean of its divisors is an integer number (8806875).

Almost surely, 268002013 is an apocalyptic number.

It is an amenable number.

68002013 is a deficient number, since it is larger than the sum of its proper divisors (2452987).

68002013 is a wasteful number, since it uses less digits than its factorization.

68002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 68002013 is about 8246.3333063853. Note that the first 4 decimals coincide. The cubic root of 68002013 is about 408.1695377852.

Adding to 68002013 its reverse (31020086), we get a palindrome (99022099).

The spelling of 68002013 in words is "sixty-eight million, two thousand, thirteen".

Divisors: 1 29 853 2749 24737 79721 2344897 68002013