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6682680 = 2332519977
BaseRepresentation
bin11001011111100000111000
3110120111220200
4121133200320
53202321210
6355122200
7110542014
oct31374070
913514820
106682680
113854884
1222a3360
1314cc964
14c5d544
158c00c0
hex65f838

6682680 has 96 divisors (see below), whose sum is σ = 22885200. Its totient is φ = 1686528.

The previous prime is 6682609. The next prime is 6682693. The reversal of 6682680 is 862866.

6682680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6352 + ... + 7328.

Almost surely, 26682680 is an apocalyptic number.

6682680 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 6682680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442600).

6682680 is an abundant number, since it is smaller than the sum of its proper divisors (16202520).

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

6682680 is a wasteful number, since it uses less digits than its factorization.

6682680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6682680 is about 2585.0880062389. The cubic root of 6682680 is about 188.3577765196.

The spelling of 6682680 in words is "six million, six hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 977 1140 1368 1710 1954 2280 2931 3420 3908 4885 5862 6840 7816 8793 9770 11724 14655 17586 18563 19540 23448 29310 35172 37126 39080 43965 55689 58620 70344 74252 87930 92815 111378 117240 148504 167067 175860 185630 222756 278445 334134 351720 371260 445512 556890 668268 742520 835335 1113780 1336536 1670670 2227560 3341340 6682680