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6730080 = 253572003
BaseRepresentation
bin11001101011000101100000
3110122220221020
4121223011200
53210330310
6400125440
7111130140
oct31530540
913586836
106730080
113887455
122306880
1315183c6
14c72920
158ce170
hex66b160

6730080 has 96 divisors (see below), whose sum is σ = 24240384. Its totient is φ = 1537536.

The previous prime is 6730067. The next prime is 6730093. The reversal of 6730080 is 800376.

It is an interprime number because it is at equal distance from previous prime (6730067) and next prime (6730093).

It is a tau number, because it is divible by the number of its divisors (96).

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 6730080.

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, 2359 + ... + 4361.

It is an arithmetic number, because the mean of its divisors is an integer number (252504).

Almost surely, 26730080 is an apocalyptic number.

6730080 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 6730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120192).

6730080 is an abundant number, since it is smaller than the sum of its proper divisors (17510304).

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

6730080 is a wasteful number, since it uses less digits than its factorization.

6730080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 6730080 is about 2594.2397730356. The cubic root of 6730080 is about 188.8020659546.

The spelling of 6730080 in words is "six million, seven hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 2003 3360 4006 6009 8012 10015 12018 14021 16024 20030 24036 28042 30045 32048 40060 42063 48072 56084 60090 64096 70105 80120 84126 96144 112168 120180 140210 160240 168252 192288 210315 224336 240360 280420 320480 336504 420630 448672 480720 560840 673008 841260 961440 1121680 1346016 1682520 2243360 3365040 6730080