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6773072 = 241737673
BaseRepresentation
bin11001110101100101010000
3110202002220112
4121311211100
53213214242
6401100452
7111366365
oct31654520
913662815
106773072
113906789
122327728
131531b47
14c8446c
158dbc82
hex675950

6773072 has 40 divisors (see below), whose sum is σ = 14291496. Its totient is φ = 3096576.

The previous prime is 6773069. The next prime is 6773083. The reversal of 6773072 is 2703776.

It can be written as a sum of positive squares in 4 ways, for example, as 2676496 + 4096576 = 1636^2 + 2024^2 .

It is a congruent number.

It is an unprimeable number.

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, 9728 + ... + 10400.

Almost surely, 26773072 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 6773072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7145748).

6773072 is an abundant number, since it is smaller than the sum of its proper divisors (7518424).

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

6773072 is a wasteful number, since it uses less digits than its factorization.

6773072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 32.

The square root of 6773072 is about 2602.5126320539. The cubic root of 6773072 is about 189.2032377904.

Subtracting from 6773072 its sum of digits (32), we obtain a triangular number (6773040 = T3680).

The spelling of 6773072 in words is "six million, seven hundred seventy-three thousand, seventy-two".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 673 1258 1346 2516 2692 5032 5384 10064 10768 11441 22882 24901 45764 49802 91528 99604 183056 199208 398416 423317 846634 1693268 3386536 6773072