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6850080 = 253256771
BaseRepresentation
bin11010001000011000100000
3110220000112200
4122020120200
53223200310
6402453200
7112140036
oct32103040
913800480
106850080
113959626
122364200
13155ac03
14ca4556
159049c0
hex688620

6850080 has 144 divisors (see below), whose sum is σ = 24058944. Its totient is φ = 1774080.

The previous prime is 6850057. The next prime is 6850087. The reversal of 6850080 is 800586.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (6850087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96445 + ... + 96515.

It is an arithmetic number, because the mean of its divisors is an integer number (167076).

Almost surely, 26850080 is an apocalyptic number.

6850080 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 6850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029472).

6850080 is an abundant number, since it is smaller than the sum of its proper divisors (17208864).

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

6850080 is a wasteful number, since it uses less digits than its factorization.

6850080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 6850080 is about 2617.2657488303. The cubic root of 6850080 is about 189.9176004657.

The spelling of 6850080 in words is "six million, eight hundred fifty 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 67 71 72 80 90 96 120 134 142 144 160 180 201 213 240 268 284 288 335 355 360 402 426 480 536 568 603 639 670 710 720 804 852 1005 1065 1072 1136 1206 1278 1340 1420 1440 1608 1704 2010 2130 2144 2272 2412 2556 2680 2840 3015 3195 3216 3408 4020 4260 4757 4824 5112 5360 5680 6030 6390 6432 6816 8040 8520 9514 9648 10224 10720 11360 12060 12780 14271 16080 17040 19028 19296 20448 23785 24120 25560 28542 32160 34080 38056 42813 47570 48240 51120 57084 71355 76112 85626 95140 96480 102240 114168 142710 152224 171252 190280 214065 228336 285420 342504 380560 428130 456672 570840 685008 761120 856260 1141680 1370016 1712520 2283360 3425040 6850080