Search a number
-
+
2707380 = 2232513289
BaseRepresentation
bin1010010100111110110100
312002112211100
422110332310
51143114010
6134010100
732004144
oct12247664
95075740
102707380
11158a105
12aa6930
1373a400
14506924
153872c0
hex294fb4

2707380 has 108 divisors (see below), whose sum is σ = 8992620. Its totient is φ = 658944.

The previous prime is 2707379. The next prime is 2707387. The reversal of 2707380 is 837072.

It can be written as a sum of positive squares in 6 ways, for example, as 933156 + 1774224 = 966^2 + 1332^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2707387) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30376 + ... + 30464.

It is an arithmetic number, because the mean of its divisors is an integer number (83265).

22707380 is an apocalyptic number.

2707380 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 2707380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496310).

2707380 is an abundant number, since it is smaller than the sum of its proper divisors (6285240).

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

2707380 is a wasteful number, since it uses less digits than its factorization.

2707380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2707380 is about 1645.4118025589. The cubic root of 2707380 is about 139.3744196856.

The spelling of 2707380 in words is "two million, seven hundred seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 89 90 117 130 156 169 178 180 195 234 260 267 338 356 390 445 468 507 534 585 676 780 801 845 890 1014 1068 1157 1170 1335 1521 1602 1690 1780 2028 2314 2340 2535 2670 3042 3204 3380 3471 4005 4628 5070 5340 5785 6084 6942 7605 8010 10140 10413 11570 13884 15041 15210 16020 17355 20826 23140 30082 30420 34710 41652 45123 52065 60164 69420 75205 90246 104130 135369 150410 180492 208260 225615 270738 300820 451230 541476 676845 902460 1353690 2707380