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6900964 = 2272137257
BaseRepresentation
bin11010010100110011100100
3110222121100021
4122110303210
53231312324
6403524524
7112441300
oct32246344
913877307
106900964
113993884
122389744
131578115
14cb8d00
15914ae4
hex694ce4

6900964 has 36 divisors (see below), whose sum is σ = 14205996. Its totient is φ = 2924544.

The previous prime is 6900961. The next prime is 6900967. The reversal of 6900964 is 4690096.

It is an interprime number because it is at equal distance from previous prime (6900961) and next prime (6900967).

It can be written as a sum of positive squares in 2 ways, for example, as 5798464 + 1102500 = 2408^2 + 1050^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6900961) 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, 26724 + ... + 26980.

It is an arithmetic number, because the mean of its divisors is an integer number (394611).

Almost surely, 26900964 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 6900964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102998).

6900964 is an abundant number, since it is smaller than the sum of its proper divisors (7305032).

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

6900964 is a wasteful number, since it uses less digits than its factorization.

6900964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 6900964 is about 2626.9685951682. The cubic root of 6900964 is about 190.3866916880.

The spelling of 6900964 in words is "six million, nine hundred thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 137 196 257 274 514 548 959 1028 1799 1918 3598 3836 6713 7196 12593 13426 25186 26852 35209 50372 70418 140836 246463 492926 985852 1725241 3450482 6900964