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3006213 = 37375373
BaseRepresentation
bin1011011101111100000101
312122201202020
423131330011
51232144323
6144233353
734360320
oct13357405
95581666
103006213
111773681
12100b859
13813432
145837b7
153e5ae3
hex2ddf05

3006213 has 32 divisors (see below), whose sum is σ = 4859136. Its totient is φ = 1617408.

The previous prime is 3006193. The next prime is 3006233. The reversal of 3006213 is 3126003.

It is an interprime number because it is at equal distance from previous prime (3006193) and next prime (3006233).

It is not a de Polignac number, because 3006213 - 29 = 3005701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3006192 and 3006201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006233) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 41145 + ... + 41217.

It is an arithmetic number, because the mean of its divisors is an integer number (151848).

Almost surely, 23006213 is an apocalyptic number.

It is an amenable number.

3006213 is a deficient number, since it is larger than the sum of its proper divisors (1852923).

3006213 is a wasteful number, since it uses less digits than its factorization.

3006213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3006213 is about 1733.8434185358. The cubic root of 3006213 is about 144.3244516732.

The spelling of 3006213 in words is "three million, six thousand, two hundred thirteen".

Divisors: 1 3 7 21 37 53 73 111 159 219 259 371 511 777 1113 1533 1961 2701 3869 5883 8103 11607 13727 18907 27083 41181 56721 81249 143153 429459 1002071 3006213