Search a number
-
+
2126280 = 2335132947
BaseRepresentation
bin1000000111000111001000
311000000201010
420013013020
51021020110
6113323520
724034032
oct10070710
94000633
102126280
111222562
128665a0
13595a70
143d4c52
152c0020
hex2071c8

2126280 has 128 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 494592.

The previous prime is 2126273. The next prime is 2126297. The reversal of 2126280 is 826212.

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, 45217 + ... + 45263.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

22126280 is an apocalyptic number.

2126280 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 2126280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2126280 is an abundant number, since it is smaller than the sum of its proper divisors (5131320).

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

2126280 is a wasteful number, since it uses less digits than its factorization.

2126280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2126280 is about 1458.1769439955. The cubic root of 2126280 is about 128.5898880021.

The spelling of 2126280 in words is "two million, one hundred twenty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 47 52 58 60 65 78 87 94 104 116 120 130 141 145 156 174 188 195 232 235 260 282 290 312 348 376 377 390 435 470 520 564 580 611 696 705 754 780 870 940 1128 1131 1160 1222 1363 1410 1508 1560 1740 1833 1880 1885 2262 2444 2726 2820 3016 3055 3480 3666 3770 4089 4524 4888 5452 5640 5655 6110 6815 7332 7540 8178 9048 9165 10904 11310 12220 13630 14664 15080 16356 17719 18330 20445 22620 24440 27260 32712 35438 36660 40890 45240 53157 54520 70876 73320 81780 88595 106314 141752 163560 177190 212628 265785 354380 425256 531570 708760 1063140 2126280