Search a number
-
+
6743040 = 21035439
BaseRepresentation
bin11001101110010000000000
3110200120201020
4121232100000
53211234130
6400305440
7111213003
oct31562000
913616636
106743040
113896167
122312280
131521285
14c7753a
158d2e10
hex66e400

6743040 has 88 divisors (see below), whose sum is σ = 21616320. Its totient is φ = 1794048.

The previous prime is 6743017. The next prime is 6743053. The reversal of 6743040 is 403476.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6743040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15141 + ... + 15579.

It is an arithmetic number, because the mean of its divisors is an integer number (245640).

Almost surely, 26743040 is an apocalyptic number.

6743040 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 6743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10808160).

6743040 is an abundant number, since it is smaller than the sum of its proper divisors (14873280).

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

6743040 is a wasteful number, since it uses less digits than its factorization.

6743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 6743040 is about 2596.7364132695. The cubic root of 6743040 is about 188.9231792162.

The spelling of 6743040 in words is "six million, seven hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 439 480 512 640 768 878 960 1024 1280 1317 1536 1756 1920 2195 2560 2634 3072 3512 3840 4390 5120 5268 6585 7024 7680 8780 10536 13170 14048 15360 17560 21072 26340 28096 35120 42144 52680 56192 70240 84288 105360 112384 140480 168576 210720 224768 280960 337152 421440 449536 561920 674304 842880 1123840 1348608 1685760 2247680 3371520 6743040