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6780672 = 2835109
BaseRepresentation
bin11001110111011100000000
3110202111100000
4121313130000
53213440142
6401200000
7111430503
oct31673400
913674300
106780672
113911468
122330000
131535442
14c8713a
158de14c
hex677700

6780672 has 108 divisors (see below), whose sum is σ = 20460440. Its totient is φ = 2239488.

The previous prime is 6780629. The next prime is 6780679. The reversal of 6780672 is 2760876.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6780679) 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 11 ways as a sum of consecutive naturals, for example, 62154 + ... + 62262.

Almost surely, 26780672 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 6780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10230220).

6780672 is an abundant number, since it is smaller than the sum of its proper divisors (13679768).

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

6780672 is an equidigital number, since it uses as much as digits as its factorization.

6780672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6780672 is about 2603.9723500836. The cubic root of 6780672 is about 189.2739790585.

The spelling of 6780672 in words is "six million, seven hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 109 128 144 162 192 216 218 243 256 288 324 327 384 432 436 486 576 648 654 768 864 872 972 981 1152 1296 1308 1728 1744 1944 1962 2304 2592 2616 2943 3456 3488 3888 3924 5184 5232 5886 6912 6976 7776 7848 8829 10368 10464 11772 13952 15552 15696 17658 20736 20928 23544 26487 27904 31104 31392 35316 41856 47088 52974 62208 62784 70632 83712 94176 105948 125568 141264 188352 211896 251136 282528 376704 423792 565056 753408 847584 1130112 1695168 2260224 3390336 6780672