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6797040 = 2435127223
BaseRepresentation
bin11001111011011011110000
3110210022210020
4121323123300
53220001130
6401403440
7111526305
oct31733360
913708706
106797040
113922798
122339580
13153ca23
14c8d0ac
158e3e10
hex67b6f0

6797040 has 80 divisors (see below), whose sum is σ = 21331968. Its totient is φ = 1790208.

The previous prime is 6797033. The next prime is 6797051. The reversal of 6797040 is 407976.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6796992 and 6797010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30369 + ... + 30591.

Almost surely, 26797040 is an apocalyptic number.

6797040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6797040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10665984).

6797040 is an abundant number, since it is smaller than the sum of its proper divisors (14534928).

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

6797040 is a wasteful number, since it uses less digits than its factorization.

6797040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 6797040 is about 2607.1133462126. The cubic root of 6797040 is about 189.4261540948.

The spelling of 6797040 in words is "six million, seven hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 223 240 254 381 446 508 635 669 762 892 1016 1115 1270 1338 1524 1784 1905 2032 2230 2540 2676 3048 3345 3568 3810 4460 5080 5352 6096 6690 7620 8920 10160 10704 13380 15240 17840 26760 28321 30480 53520 56642 84963 113284 141605 169926 226568 283210 339852 424815 453136 566420 679704 849630 1132840 1359408 1699260 2265680 3398520 6797040