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7000064 = 2121709
BaseRepresentation
bin11010101101000000000000
3111011122021122
4122231000000
53243000224
6410011412
7113333231
oct32550000
914148248
107000064
113a51285
122416b68
1315b1266
14d03088
1593415e
hex6ad000

7000064 has 26 divisors (see below), whose sum is σ = 14006610. Its totient is φ = 3497984.

The previous prime is 7000061. The next prime is 7000069. The reversal of 7000064 is 4600007.

It can be written as a sum of positive squares in only one way, i.e., 5017600 + 1982464 = 2240^2 + 1408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7000061) 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 as a sum of consecutive naturals, namely, 3242 + ... + 4950.

Almost surely, 27000064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7003305).

7000064 is an abundant number, since it is smaller than the sum of its proper divisors (7006546).

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

7000064 is an equidigital number, since it uses as much as digits as its factorization.

7000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 7000064 is about 2645.7634059001. The cubic root of 7000064 is about 191.2937012640.

The spelling of 7000064 in words is "seven million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1709 2048 3418 4096 6836 13672 27344 54688 109376 218752 437504 875008 1750016 3500032 7000064