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82140500 = 22531312637
BaseRepresentation
bin1001110010101…
…01110101010100
312201120011120202
410321111311110
5132011444000
612052320032
72015116451
oct471256524
9181504522
1082140500
1142403412
1223613018
131402c760
14aca2828
157327dd5
hex4e55d54

82140500 has 48 divisors (see below), whose sum is σ = 193209744. Its totient is φ = 30326400.

The previous prime is 82140497. The next prime is 82140517. The reversal of 82140500 is 504128.

It can be written as a sum of positive squares in 8 ways, for example, as 60777616 + 21362884 = 7796^2 + 4622^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182 + ... + 12818.

It is an arithmetic number, because the mean of its divisors is an integer number (4025203).

Almost surely, 282140500 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 82140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96604872).

82140500 is an abundant number, since it is smaller than the sum of its proper divisors (111069244).

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

82140500 is a wasteful number, since it uses less digits than its factorization.

82140500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12669 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 82140500 is about 9063.1396325997. The cubic root of 82140500 is about 434.6961369336.

Adding to 82140500 its reverse (504128), we get a palindrome (82644628).

The spelling of 82140500 in words is "eighty-two million, one hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 12637 25274 50548 63185 126370 164281 252740 315925 328562 631850 657124 821405 1263700 1579625 1642810 3159250 3285620 4107025 6318500 8214050 16428100 20535125 41070250 82140500