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6742764 = 22357991
BaseRepresentation
bin11001101110001011101100
3110200120100000
4121232023230
53211232024
6400304300
7111212130
oct31561354
913616300
106742764
113895a36
122312090
131521102
14c773c0
158d2cc9
hex66e2ec

6742764 has 72 divisors (see below), whose sum is σ = 20220928. Its totient is φ = 1924560.

The previous prime is 6742763. The next prime is 6742781. The reversal of 6742764 is 4672476.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6742763) 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 23 ways as a sum of consecutive naturals, for example, 6309 + ... + 7299.

Almost surely, 26742764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6742764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10110464).

6742764 is an abundant number, since it is smaller than the sum of its proper divisors (13478164).

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

6742764 is a wasteful number, since it uses less digits than its factorization.

6742764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1003 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 6742764 is about 2596.6832690954. The cubic root of 6742764 is about 188.9206015702.

The spelling of 6742764 in words is "six million, seven hundred forty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 991 1134 1701 1982 2268 2973 3402 3964 5946 6804 6937 8919 11892 13874 17838 20811 26757 27748 35676 41622 53514 62433 80271 83244 107028 124866 160542 187299 240813 249732 321084 374598 481626 561897 749196 963252 1123794 1685691 2247588 3371382 6742764