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820020700 = 225213162597
BaseRepresentation
bin110000111000001…
…000010111011100
32010011000100221001
4300320020113130
53134411130300
6213211520044
726215026622
oct6070102734
92104010831
10820020700
11390975764
121aa759024
13100b72865
147ac9b512
154bece16a
hex30e085dc

820020700 has 36 divisors (see below), whose sum is σ = 1793057112. Its totient is φ = 325499200.

The previous prime is 820020683. The next prime is 820020701. The reversal of 820020700 is 7020028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820020701) 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, 18199 + ... + 44398.

It is an arithmetic number, because the mean of its divisors is an integer number (49807142).

Almost surely, 2820020700 is an apocalyptic number.

It is an amenable number.

820020700 is an abundant number, since it is smaller than the sum of its proper divisors (973036412).

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

820020700 is a wasteful number, since it uses less digits than its factorization.

820020700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62742 (or 62735 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 820020700 is about 28636.0035619498. The cubic root of 820020700 is about 935.9980382626.

Adding to 820020700 its reverse (7020028), we get a palindrome (827040728).

It can be divided in two parts, 8200 and 20700, that added together give a square (28900 = 1702).

The spelling of 820020700 in words is "eight hundred twenty million, twenty thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 524 655 1310 2620 3275 6550 13100 62597 125194 250388 312985 625970 1251940 1564925 3129850 6259700 8200207 16400414 32800828 41001035 82002070 164004140 205005175 410010350 820020700