Search a number
-
+
2680920 = 2332511677
BaseRepresentation
bin1010001110100001011000
312001012112100
422032201120
51141242140
6133243400
731534044
oct12164130
95035470
102680920
111571240
12a93560
1372b358
144db024
1537e530
hex28e858

2680920 has 96 divisors (see below), whose sum is σ = 9519120. Its totient is φ = 648960.

The previous prime is 2680907. The next prime is 2680943. The reversal of 2680920 is 290862.

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, 3622 + ... + 4298.

22680920 is an apocalyptic number.

2680920 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 2680920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759560).

2680920 is an abundant number, since it is smaller than the sum of its proper divisors (6838200).

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

2680920 is a wasteful number, since it uses less digits than its factorization.

2680920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2680920 is about 1637.3515199859. The cubic root of 2680920 is about 138.9188837144.

It can be divided in two parts, 2680 and 920, that added together give a square (3600 = 602).

The spelling of 2680920 in words is "two million, six hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 677 792 990 1320 1354 1980 2031 2708 3385 3960 4062 5416 6093 6770 7447 8124 10155 12186 13540 14894 16248 20310 22341 24372 27080 29788 30465 37235 40620 44682 48744 59576 60930 67023 74470 81240 89364 111705 121860 134046 148940 178728 223410 243720 268092 297880 335115 446820 536184 670230 893640 1340460 2680920