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82736620 = 22517243343
BaseRepresentation
bin1001110111001…
…11010111101100
312202200110022021
410323213113230
5132140032440
612113155524
72023151431
oct473472754
9182613267
1082736620
114278027a
122385bba4
13141aaba5
14adb9b88
1573e484a
hex4ee75ec

82736620 has 24 divisors (see below), whose sum is σ = 183968064. Its totient is φ = 31147776.

The previous prime is 82736617. The next prime is 82736627. The reversal of 82736620 is 2663728.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (82736627) 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 7 ways as a sum of consecutive naturals, for example, 121332 + ... + 122011.

It is an arithmetic number, because the mean of its divisors is an integer number (7665336).

Almost surely, 282736620 is an apocalyptic number.

It is an amenable number.

82736620 is an abundant number, since it is smaller than the sum of its proper divisors (101231444).

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

82736620 is a wasteful number, since it uses less digits than its factorization.

82736620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243369 (or 243367 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 82736620 is about 9095.9672382875. The cubic root of 82736620 is about 435.7451797754.

The spelling of 82736620 in words is "eighty-two million, seven hundred thirty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 243343 486686 973372 1216715 2433430 4136831 4866860 8273662 16547324 20684155 41368310 82736620