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2683980 = 22325133137
BaseRepresentation
bin1010001111010001001100
312001100201200
422033101030
51141341410
6133305500
731546005
oct12172114
95040650
102683980
111573572
12a95290
1372c870
144dc1ac
153803c0
hex28f44c

2683980 has 144 divisors (see below), whose sum is σ = 9295104. Its totient is φ = 622080.

The previous prime is 2683903. The next prime is 2683981. The reversal of 2683980 is 893862.

2683980 is a `hidden beast` number, since 268 + 398 + 0 = 666.

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

It is a d-powerful number, because it can be written as 219 + 64 + 8 + 37 + 95 + 87 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2683981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72522 + ... + 72558.

22683980 is an apocalyptic number.

2683980 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 2683980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647552).

2683980 is an abundant number, since it is smaller than the sum of its proper divisors (6611124).

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

2683980 is a wasteful number, since it uses less digits than its factorization.

2683980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2683980 is about 1638.2856893717. The cubic root of 2683980 is about 138.9717175865.

It can be divided in two parts, 2683 and 980, that added together give a palindrome (3663).

The spelling of 2683980 in words is "two million, six hundred eighty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 37 39 45 52 60 62 65 74 78 90 93 111 117 124 130 148 155 156 180 185 186 195 222 234 260 279 310 333 370 372 390 403 444 465 468 481 555 558 585 620 666 740 780 806 930 962 1110 1116 1147 1170 1209 1332 1395 1443 1612 1665 1860 1924 2015 2220 2294 2340 2405 2418 2790 2886 3330 3441 3627 4030 4329 4588 4810 4836 5580 5735 5772 6045 6660 6882 7215 7254 8060 8658 9620 10323 11470 12090 13764 14430 14508 14911 17205 17316 18135 20646 21645 22940 24180 28860 29822 34410 36270 41292 43290 44733 51615 59644 68820 72540 74555 86580 89466 103230 134199 149110 178932 206460 223665 268398 298220 447330 536796 670995 894660 1341990 2683980