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70008 = 2332917
BaseRepresentation
bin10001000101111000
310120000220
4101011320
54220013
61300040
7411051
oct210570
9116026
1070008
1148664
1234620
1325b33
141b728
1515b23
hex11178

70008 has 16 divisors (see below), whose sum is σ = 175080. Its totient is φ = 23328.

The previous prime is 70003. The next prime is 70009. The reversal of 70008 is 80007.

It is a super-2 number, since 2×700082 = 9802240128, which contains 22 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1435 + ... + 1482.

270008 is an apocalyptic number.

It is an amenable number.

70008 is an abundant number, since it is smaller than the sum of its proper divisors (105072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87540).

70008 is a wasteful number, since it uses less digits than its factorization.

70008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 70008 is about 264.5902492534. The cubic root of 70008 is about 41.2144229517.

Subtracting 70008 from its reverse (80007), we obtain a palindrome (9999).

The spelling of 70008 in words is "seventy thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 2917 5834 8751 11668 17502 23336 35004 70008