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2680020 = 223357709
BaseRepresentation
bin1010001110010011010100
312001011022000
422032103110
51141230040
6133235300
731531320
oct12162324
95034260
102680020
1115705a2
12a92b30
1372ab15
144da980
1537e130
hex28e4d4

2680020 has 96 divisors (see below), whose sum is σ = 9542400. Its totient is φ = 611712.

The previous prime is 2680009. The next prime is 2680031. The reversal of 2680020 is 200862.

It is an interprime number because it is at equal distance from previous prime (2680009) and next prime (2680031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2679975 and 2680002.

It is a congruent number.

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, 3426 + ... + 4134.

It is an arithmetic number, because the mean of its divisors is an integer number (99400).

22680020 is an apocalyptic number.

2680020 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 2680020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4771200).

2680020 is an abundant number, since it is smaller than the sum of its proper divisors (6862380).

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

2680020 is a wasteful number, since it uses less digits than its factorization.

2680020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2680020 is about 1637.0766628353. The cubic root of 2680020 is about 138.9033366896.

Adding to 2680020 its reverse (200862), we get a palindrome (2880882).

The spelling of 2680020 in words is "two million, six hundred eighty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 709 756 945 1260 1418 1890 2127 2836 3545 3780 4254 4963 6381 7090 8508 9926 10635 12762 14180 14889 19143 19852 21270 24815 25524 29778 31905 38286 42540 44667 49630 59556 63810 74445 76572 89334 95715 99260 127620 134001 148890 178668 191430 223335 268002 297780 382860 446670 536004 670005 893340 1340010 2680020