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6830144 = 26106721
BaseRepresentation
bin11010000011100001000000
3110212000012022
4122003201000
53222031034
6402221012
7112024646
oct32034100
913760168
106830144
113945652
122354768
131551b09
14c9b196
158edb2e
hex683840

6830144 has 14 divisors (see below), whose sum is σ = 13553694. Its totient is φ = 3415040.

The previous prime is 6830143. The next prime is 6830147. The reversal of 6830144 is 4410386.

It can be written as a sum of positive squares in only one way, i.e., 6190144 + 640000 = 2488^2 + 800^2 .

It is not an unprimeable number, because it can be changed into a prime (6830143) 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, 53297 + ... + 53424.

It is an arithmetic number, because the mean of its divisors is an integer number (968121).

Almost surely, 26830144 is an apocalyptic number.

6830144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6830144 is a deficient number, since it is larger than the sum of its proper divisors (6723550).

6830144 is a wasteful number, since it uses less digits than its factorization.

6830144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106733 (or 106723 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 6830144 is about 2613.4544189635. The cubic root of 6830144 is about 189.7331804170.

The spelling of 6830144 in words is "six million, eight hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 106721 213442 426884 853768 1707536 3415072 6830144