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82620 = 2235517
BaseRepresentation
bin10100001010111100
311012100000
4110022330
510120440
61434300
7462606
oct241274
9135300
1082620
115708a
123b990
132b7b5
1422176
1519730
hex142bc

82620 has 72 divisors (see below), whose sum is σ = 275184. Its totient is φ = 20736.

The previous prime is 82619. The next prime is 82633. The reversal of 82620 is 2628.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 82593 and 82602.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82620.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4852 + ... + 4868.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

282620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

82620 is an abundant number, since it is smaller than the sum of its proper divisors (192564).

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

82620 is a wasteful number, since it uses less digits than its factorization.

82620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 82620 is about 287.4369496081. The cubic root of 82620 is about 43.5540351097.

Subtracting from 82620 its product of nonzero digits (192), we obtain a palindrome (82428).

It can be divided in two parts, 8 and 2620, that added together give a triangular number (2628 = T72).

The spelling of 82620 in words is "eighty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 243 255 270 306 324 340 405 459 486 510 540 612 765 810 918 972 1020 1215 1377 1530 1620 1836 2295 2430 2754 3060 4131 4590 4860 5508 6885 8262 9180 13770 16524 20655 27540 41310 82620