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3006720 = 2834529
BaseRepresentation
bin1011011110000100000000
312122202110000
423132010000
51232203340
6144240000
734361643
oct13360400
95582400
103006720
111773aa2
121010000
13813732
14583a5a
153e5d30
hex2de100

3006720 has 180 divisors, whose sum is σ = 11129580. Its totient is φ = 774144.

The previous prime is 3006719. The next prime is 3006733. The reversal of 3006720 is 276003.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 1679616 = 1152^2 + 1296^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3006693 and 3006702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103666 + ... + 103694.

It is an arithmetic number, because the mean of its divisors is an integer number (61831).

Almost surely, 23006720 is an apocalyptic number.

3006720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564790).

3006720 is an abundant number, since it is smaller than the sum of its proper divisors (8122860).

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

3006720 is an equidigital number, since it uses as much as digits as its factorization.

3006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3006720 is about 1733.9896193461. The cubic root of 3006720 is about 144.3325646916.

The spelling of 3006720 in words is "three million, six thousand, seven hundred twenty".