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3007020 = 2235232179
BaseRepresentation
bin1011011110001000101100
312122202212010
423132020230
51232211040
6144241220
734362552
oct13361054
95582763
103007020
111774245
121010210
13813903
14583bd2
153e5e80
hex2de22c

3007020 has 48 divisors (see below), whose sum is σ = 8789760. Its totient is φ = 766656.

The previous prime is 3007019. The next prime is 3007049. The reversal of 3007020 is 207003.

3007020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3006987 and 3007005.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 291 + ... + 2469.

It is an arithmetic number, because the mean of its divisors is an integer number (183120).

Almost surely, 23007020 is an apocalyptic number.

3007020 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 3007020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394880).

3007020 is an abundant number, since it is smaller than the sum of its proper divisors (5782740).

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

3007020 is a wasteful number, since it uses less digits than its factorization.

3007020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 3007020 is about 1734.0761228966. The cubic root of 3007020 is about 144.3373648647.

The spelling of 3007020 in words is "three million, seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 2179 4358 6537 8716 10895 13074 21790 26148 32685 43580 50117 65370 100234 130740 150351 200468 250585 300702 501170 601404 751755 1002340 1503510 3007020