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76820020 = 22518121221
BaseRepresentation
bin1001001010000…
…10111000110100
312100112212020221
410211002320310
5124131220040
611342304124
71621650034
oct445027064
9170485227
1076820020
113a3aa022
1221888044
1312bb8b44
14a2b98c4
156b2674a
hex4942e34

76820020 has 24 divisors (see below), whose sum is σ = 162220968. Its totient is φ = 30556800.

The previous prime is 76820011. The next prime is 76820027. The reversal of 76820020 is 2002867.

It can be written as a sum of positive squares in 4 ways, for example, as 5788836 + 71031184 = 2406^2 + 8428^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76820027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6991 + ... + 14230.

It is an arithmetic number, because the mean of its divisors is an integer number (6759207).

Almost surely, 276820020 is an apocalyptic number.

It is an amenable number.

76820020 is an abundant number, since it is smaller than the sum of its proper divisors (85400948).

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

76820020 is a wasteful number, since it uses less digits than its factorization.

76820020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21411 (or 21409 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 76820020 is about 8764.7030754042. The cubic root of 76820020 is about 425.1003592290.

Adding to 76820020 its reverse (2002867), we get a palindrome (78822887).

The spelling of 76820020 in words is "seventy-six million, eight hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 21221 42442 84884 106105 212210 424420 3841001 7682002 15364004 19205005 38410010 76820020