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6930216 = 2332101953
BaseRepresentation
bin11010011011111100101000
3111001002110200
4122123330220
53233231331
6404312200
7112622466
oct32337450
914032420
106930216
113a03857
1223a2660
131588527
14cc5836
1591d5e6
hex69bf28

6930216 has 48 divisors (see below), whose sum is σ = 18975060. Its totient is φ = 2284800.

The previous prime is 6930191. The next prime is 6930223. The reversal of 6930216 is 6120396.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6502500 + 427716 = 2550^2 + 654^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6930216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6796 + ... + 7748.

Almost surely, 26930216 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 6930216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9487530).

6930216 is an abundant number, since it is smaller than the sum of its proper divisors (12044844).

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

6930216 is a wasteful number, since it uses less digits than its factorization.

6930216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 6930216 is about 2632.5303417055. The cubic root of 6930216 is about 190.6553179763.

The spelling of 6930216 in words is "six million, nine hundred thirty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 953 1212 1818 1906 2424 2859 3636 3812 5718 7272 7624 8577 11436 17154 22872 34308 68616 96253 192506 288759 385012 577518 770024 866277 1155036 1732554 2310072 3465108 6930216