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8220135 = 357112647
BaseRepresentation
bin11111010110110111100111
3120110121220110
4133112313213
54101021020
6452104103
7126604260
oct37266747
916417813
108220135
114704a00
122905033
13191a6b1
14113d967
15ac58e0
hex7d6de7

8220135 has 48 divisors (see below), whose sum is σ = 16547328. Its totient is φ = 3410880.

The previous prime is 8220109. The next prime is 8220139. The reversal of 8220135 is 5310228.

8220135 = T519 + T520 + ... + T573.

It is not a de Polignac number, because 8220135 - 28 = 8219879 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12382 + ... + 13028.

It is an arithmetic number, because the mean of its divisors is an integer number (344736).

Almost surely, 28220135 is an apocalyptic number.

8220135 is an abundant number, since it is smaller than the sum of its proper divisors (8327193).

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

8220135 is a wasteful number, since it uses less digits than its factorization.

8220135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 8220135 is about 2867.0777805982. The cubic root of 8220135 is about 201.8178847455.

The spelling of 8220135 in words is "eight million, two hundred twenty thousand, one hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 647 847 1155 1815 1941 2541 3235 4235 4529 7117 9705 12705 13587 21351 22645 35585 49819 67935 78287 106755 149457 234861 249095 391435 548009 747285 1174305 1644027 2740045 8220135