Search a number
-
+
2105740 = 225713289
BaseRepresentation
bin1000000010000110001100
310221222112101
420002012030
51014340430
6113044444
723620120
oct10020614
93858471
102105740
11120908a
12856724
13589600
143cb580
152b8dca
hex20218c

2105740 has 72 divisors (see below), whose sum is σ = 5533920. Its totient is φ = 658944.

The previous prime is 2105731. The next prime is 2105759. The reversal of 2105740 is 475012.

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, 23616 + ... + 23704.

It is an arithmetic number, because the mean of its divisors is an integer number (76860).

22105740 is an apocalyptic number.

2105740 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 2105740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766960).

2105740 is an abundant number, since it is smaller than the sum of its proper divisors (3428180).

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

2105740 is a wasteful number, since it uses less digits than its factorization.

2105740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 2105740 is about 1451.1168112871. The cubic root of 2105740 is about 128.1744853466.

The spelling of 2105740 in words is "two million, one hundred five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 89 91 130 140 169 178 182 260 338 356 364 445 455 623 676 845 890 910 1157 1183 1246 1690 1780 1820 2314 2366 2492 3115 3380 4628 4732 5785 5915 6230 8099 11570 11830 12460 15041 16198 23140 23660 30082 32396 40495 60164 75205 80990 105287 150410 161980 210574 300820 421148 526435 1052870 2105740