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2131080 = 233574359
BaseRepresentation
bin1000001000010010001000
311000021021220
420020102020
51021143310
6113402040
724054030
oct10102210
94007256
102131080
111226126
12869320
13597cc3
143d68c0
152c1670
hex208488

2131080 has 128 divisors (see below), whose sum is σ = 7603200. Its totient is φ = 467712.

The previous prime is 2131049. The next prime is 2131081. The reversal of 2131080 is 801312.

It is a happy number.

2131080 is a nontrivial binomial coefficient, being equal to C(2065, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36091 + ... + 36149.

It is an arithmetic number, because the mean of its divisors is an integer number (59400).

22131080 is an apocalyptic number.

2131080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2131080 is the 2064-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801600).

2131080 is an abundant number, since it is smaller than the sum of its proper divisors (5472120).

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

2131080 is a wasteful number, since it uses less digits than its factorization.

2131080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2131080 is about 1459.8219069462. The cubic root of 2131080 is about 128.6865776173.

Adding to 2131080 its reverse (801312), we get a palindrome (2932392).

The spelling of 2131080 in words is "two million, one hundred thirty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 59 60 70 84 86 105 118 120 129 140 168 172 177 210 215 236 258 280 295 301 344 354 413 420 430 472 516 590 602 645 708 826 840 860 885 903 1032 1180 1204 1239 1290 1416 1505 1652 1720 1770 1806 2065 2360 2408 2478 2537 2580 3010 3304 3540 3612 4130 4515 4956 5074 5160 6020 6195 7080 7224 7611 8260 9030 9912 10148 12040 12390 12685 15222 16520 17759 18060 20296 24780 25370 30444 35518 36120 38055 49560 50740 53277 60888 71036 76110 88795 101480 106554 142072 152220 177590 213108 266385 304440 355180 426216 532770 710360 1065540 2131080