Search a number
-
+
8133021 = 3313172947
BaseRepresentation
bin11111000001100110011101
3120022012102000
4133001212131
54040224041
6450152513
7126062301
oct37014635
916265360
108133021
114655506
122882739
1318b9b50
141119d01
15aa9bb6
hex7c199d

8133021 has 64 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 4451328.

The previous prime is 8133019. The next prime is 8133023. The reversal of 8133021 is 1203318.

It is an interprime number because it is at equal distance from previous prime (8133019) and next prime (8133023).

It is not a de Polignac number, because 8133021 - 21 = 8133019 is a prime.

It is a super-2 number, since 2×81330212 = 132292061172882, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8132985 and 8133003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8133023) 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 63 ways as a sum of consecutive naturals, for example, 173020 + ... + 173066.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 28133021 is an apocalyptic number.

It is an amenable number.

8133021 is a deficient number, since it is larger than the sum of its proper divisors (6382179).

8133021 is a wasteful number, since it uses less digits than its factorization.

8133021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 8133021 is about 2851.8451921519. The cubic root of 8133021 is about 201.1024205133.

Adding to 8133021 its reverse (1203318), we get a palindrome (9336339).

The spelling of 8133021 in words is "eight million, one hundred thirty-three thousand, twenty-one".

Divisors: 1 3 9 13 17 27 29 39 47 51 87 117 141 153 221 261 351 377 423 459 493 611 663 783 799 1131 1269 1363 1479 1833 1989 2397 3393 4089 4437 5499 5967 6409 7191 10179 10387 12267 13311 16497 17719 19227 21573 23171 31161 36801 53157 57681 69513 93483 159471 173043 208539 280449 301223 478413 625617 903669 2711007 8133021