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82140820 = 22523178567
BaseRepresentation
bin1001110010101…
…01111010010100
312201120012000121
410321111322110
5132012001240
612052321324
72015120416
oct471257224
9181505017
1082140820
1142403683
1223613244
131402c948
14aca29b6
15732804a
hex4e55e94

82140820 has 24 divisors (see below), whose sum is σ = 179996544. Its totient is φ = 31427616.

The previous prime is 82140809. The next prime is 82140833. The reversal of 82140820 is 2804128.

It is a super-2 number, since 2×821408202 = 13494228620544800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88824 + ... + 89743.

It is an arithmetic number, because the mean of its divisors is an integer number (7499856).

Almost surely, 282140820 is an apocalyptic number.

It is an amenable number.

82140820 is an abundant number, since it is smaller than the sum of its proper divisors (97855724).

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

82140820 is a wasteful number, since it uses less digits than its factorization.

82140820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178599 (or 178597 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 82140820 is about 9063.1572865089. The cubic root of 82140820 is about 434.6967014241.

Adding to 82140820 its reverse (2804128), we get a palindrome (84944948).

The spelling of 82140820 in words is "eighty-two million, one hundred forty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 178567 357134 714268 892835 1785670 3571340 4107041 8214082 16428164 20535205 41070410 82140820