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102820716 = 22325948409
BaseRepresentation
bin1100010000011…
…10101101101100
321011110211111200
412020032231230
5202310230331
614111445500
72355650565
oct610165554
9234424450
10102820716
11530487a9
122a526890
13183c067b
14d92716c
1590605e6
hex620eb6c

102820716 has 36 divisors (see below), whose sum is σ = 264318600. Its totient is φ = 33691968.

The previous prime is 102820699. The next prime is 102820717. The reversal of 102820716 is 617028201.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102820716.

It is not an unprimeable number, because it can be changed into a prime (102820717) 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 11 ways as a sum of consecutive naturals, for example, 22081 + ... + 26328.

Almost surely, 2102820716 is an apocalyptic number.

It is an amenable number.

102820716 is an abundant number, since it is smaller than the sum of its proper divisors (161497884).

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

102820716 is a wasteful number, since it uses less digits than its factorization.

102820716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48478 (or 48473 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 102820716 is about 10140.0550294365. The cubic root of 102820716 is about 468.4826819299.

Adding to 102820716 its reverse (617028201), we get a palindrome (719848917).

The spelling of 102820716 in words is "one hundred two million, eight hundred twenty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 48409 96818 145227 193636 290454 435681 580908 871362 1742724 2856131 5712262 8568393 11424524 17136786 25705179 34273572 51410358 102820716