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67766020 = 2257269149
BaseRepresentation
bin1000000101000…
…00011100000100
311201111212111121
410002200130010
5114322003040
610420243324
71452000400
oct402403404
9151455447
1067766020
1135285683
121a840544
1311068a4a
149000100
155e38c4a
hex40a0704

67766020 has 36 divisors (see below), whose sum is σ = 165545100. Its totient is φ = 23233728.

The previous prime is 67766009. The next prime is 67766033. The reversal of 67766020 is 2066776.

It can be written as a sum of positive squares in 2 ways, for example, as 24285184 + 43480836 = 4928^2 + 6594^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33595 + ... + 35554.

It is an arithmetic number, because the mean of its divisors is an integer number (4598475).

Almost surely, 267766020 is an apocalyptic number.

It is an amenable number.

67766020 is an abundant number, since it is smaller than the sum of its proper divisors (97779080).

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

67766020 is a wasteful number, since it uses less digits than its factorization.

67766020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69172 (or 69163 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 67766020 is about 8232.0119047533. The cubic root of 67766020 is about 407.6968223797.

The spelling of 67766020 in words is "sixty-seven million, seven hundred sixty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 69149 138298 276596 345745 484043 691490 968086 1382980 1936172 2420215 3388301 4840430 6776602 9680860 13553204 16941505 33883010 67766020