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6556680 = 2333513467
BaseRepresentation
bin11001000000110000001000
3110100010002000
4121000300020
53134303210
6352311000
7106505454
oct31006010
913303060
106556680
113779149
122242460
1314874c0
14c29664
15897ac0
hex640c08

6556680 has 128 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 1610496.

The previous prime is 6556673. The next prime is 6556699. The reversal of 6556680 is 866556.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13807 + ... + 14273.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 26556680 is an apocalyptic number.

6556680 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 6556680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

6556680 is an abundant number, since it is smaller than the sum of its proper divisors (17030520).

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

6556680 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (6556679) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (490).

6556680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6556680 is about 2560.6014918374. The cubic root of 6556680 is about 187.1664469779.

The spelling of 6556680 in words is "six million, five hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 467 468 520 540 585 702 780 934 936 1080 1170 1401 1404 1560 1755 1868 2335 2340 2802 2808 3510 3736 4203 4670 4680 5604 6071 7005 7020 8406 9340 11208 12142 12609 14010 14040 16812 18213 18680 21015 24284 25218 28020 30355 33624 36426 42030 48568 50436 54639 56040 60710 63045 72852 84060 91065 100872 109278 121420 126090 145704 163917 168120 182130 218556 242840 252180 273195 327834 364260 437112 504360 546390 655668 728520 819585 1092780 1311336 1639170 2185560 3278340 6556680