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82013197 = 7311392719
BaseRepresentation
bin1001110001101…
…10110000001101
312201022200221211
410320312300031
5131443410242
612045454421
72014046350
oct470666015
9181280854
1082013197
1142326802
1223571411
1313cb6826
14ac6c297
157300317
hex4e36c0d

82013197 has 16 divisors (see below), whose sum is σ = 97484800. Its totient is φ = 67515120.

The previous prime is 82013179. The next prime is 82013221. The reversal of 82013197 is 79131028.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82013197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82013137) 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 15 ways as a sum of consecutive naturals, for example, 28804 + ... + 31522.

It is an arithmetic number, because the mean of its divisors is an integer number (6092800).

Almost surely, 282013197 is an apocalyptic number.

It is an amenable number.

82013197 is a deficient number, since it is larger than the sum of its proper divisors (15471603).

82013197 is a wasteful number, since it uses less digits than its factorization.

82013197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 82013197 is about 9056.1137912462. The cubic root of 82013197 is about 434.4714538804.

The spelling of 82013197 in words is "eighty-two million, thirteen thousand, one hundred ninety-seven".

Divisors: 1 7 31 139 217 973 2719 4309 19033 30163 84289 377941 590023 2645587 11716171 82013197