Search a number
-
+
2141760 = 26352397
BaseRepresentation
bin1000001010111001000000
311000210221110
420022321000
51022014020
6113523320
724130125
oct10127100
94023843
102141760
111233155
12873540
1359cb1a
143da74c
152c48e0
hex20ae40

2141760 has 112 divisors (see below), whose sum is σ = 7168896. Its totient is φ = 540672.

The previous prime is 2141753. The next prime is 2141791. The reversal of 2141760 is 671412.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22032 + ... + 22128.

It is an arithmetic number, because the mean of its divisors is an integer number (64008).

22141760 is an apocalyptic number.

2141760 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 2141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584448).

2141760 is an abundant number, since it is smaller than the sum of its proper divisors (5027136).

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

2141760 is a wasteful number, since it uses less digits than its factorization.

2141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2141760 is about 1463.4753158151. The cubic root of 2141760 is about 128.9011922901.

The spelling of 2141760 in words is "two million, one hundred forty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 97 115 120 138 160 184 192 194 230 240 276 291 320 345 368 388 460 480 485 552 582 690 736 776 920 960 970 1104 1164 1380 1455 1472 1552 1840 1940 2208 2231 2328 2760 2910 3104 3680 3880 4416 4462 4656 5520 5820 6208 6693 7360 7760 8924 9312 11040 11155 11640 13386 15520 17848 18624 22080 22310 23280 26772 31040 33465 35696 44620 46560 53544 66930 71392 89240 93120 107088 133860 142784 178480 214176 267720 356960 428352 535440 713920 1070880 2141760