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3006140 = 225297173
BaseRepresentation
bin1011011101111010111100
312122201122112
423131322330
51232144030
6144233152
734360154
oct13357274
95581575
103006140
111773615
12100b7b8
138133a7
14583764
153e5a95
hex2ddebc

3006140 has 48 divisors (see below), whose sum is σ = 6713280. Its totient is φ = 1128960.

The previous prime is 3006121. The next prime is 3006151. The reversal of 3006140 is 416003.

3006140 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41144 + ... + 41216.

It is an arithmetic number, because the mean of its divisors is an integer number (139860).

Almost surely, 23006140 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 3006140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356640).

3006140 is an abundant number, since it is smaller than the sum of its proper divisors (3707140).

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

3006140 is a wasteful number, since it uses less digits than its factorization.

3006140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3006140 is about 1733.8223669108. The cubic root of 3006140 is about 144.3232834514.

The spelling of 3006140 in words is "three million, six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 71 73 116 142 145 146 284 290 292 355 365 580 710 730 1420 1460 2059 2117 4118 4234 5183 8236 8468 10295 10366 10585 20590 20732 21170 25915 41180 42340 51830 103660 150307 300614 601228 751535 1503070 3006140