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6742080 = 263252341
BaseRepresentation
bin11001101110000001000000
3110200112101200
4121232001000
53211221310
6400301200
7111210132
oct31560100
913615350
106742080
113895474
122311800
1315209c7
14c77052
158d29c0
hex66e040

6742080 has 84 divisors (see below), whose sum is σ = 23199852. Its totient is φ = 1797120.

The previous prime is 6742067. The next prime is 6742091. The reversal of 6742080 is 802476.

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 3326976 = 1848^2 + 1824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1710 + ... + 4050.

Almost surely, 26742080 is an apocalyptic number.

6742080 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 6742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11599926).

6742080 is an abundant number, since it is smaller than the sum of its proper divisors (16457772).

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

6742080 is a wasteful number, since it uses less digits than its factorization.

6742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6742080 is about 2596.5515592801. The cubic root of 6742080 is about 188.9142131880.

The spelling of 6742080 in words is "six million, seven hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2341 2880 4682 7023 9364 11705 14046 18728 21069 23410 28092 35115 37456 42138 46820 56184 70230 74912 84276 93640 105345 112368 140460 149824 168552 187280 210690 224736 280920 337104 374560 421380 449472 561840 674208 749120 842760 1123680 1348416 1685520 2247360 3371040 6742080