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2682960 = 243571597
BaseRepresentation
bin1010001111000001010000
312001022022220
422033001100
51141323320
6133301040
731543020
oct12170120
95038286
102682960
111572825
12a94780
1372c267
144dba80
1537ee40
hex28f050

2682960 has 80 divisors (see below), whose sum is σ = 9511296. Its totient is φ = 612864.

The previous prime is 2682949. The next prime is 2682961. The reversal of 2682960 is 692862.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882 + ... + 2478.

22682960 is an apocalyptic number.

2682960 is a gapful number since it is divisible by the number (20) 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 2682960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755648).

2682960 is an abundant number, since it is smaller than the sum of its proper divisors (6828336).

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

2682960 is a wasteful number, since it uses less digits than its factorization.

2682960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2682960 is about 1637.9743587737. The cubic root of 2682960 is about 138.9541107598.

The spelling of 2682960 in words is "two million, six hundred eighty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1597 1680 3194 4791 6388 7985 9582 11179 12776 15970 19164 22358 23955 25552 31940 33537 38328 44716 47910 55895 63880 67074 76656 89432 95820 111790 127760 134148 167685 178864 191640 223580 268296 335370 383280 447160 536592 670740 894320 1341480 2682960