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2131180 = 2252341113
BaseRepresentation
bin1000001000010011101100
311000021102121
420020103230
51021144210
6113402324
724054232
oct10102354
94007377
102131180
111226207
128693a4
1359806c
143d6952
152c16da
hex2084ec

2131180 has 48 divisors (see below), whose sum is σ = 4826304. Its totient is φ = 788480.

The previous prime is 2131141. The next prime is 2131193. The reversal of 2131180 is 811312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18804 + ... + 18916.

It is an arithmetic number, because the mean of its divisors is an integer number (100548).

22131180 is an apocalyptic number.

2131180 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 2131180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413152).

2131180 is an abundant number, since it is smaller than the sum of its proper divisors (2695124).

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

2131180 is a wasteful number, since it uses less digits than its factorization.

2131180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 2131180 is about 1459.8561572977. The cubic root of 2131180 is about 128.6885904397.

Adding to 2131180 its reverse (811312), we get a palindrome (2942492).

The spelling of 2131180 in words is "two million, one hundred thirty-one thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 113 115 164 205 226 230 410 452 460 565 820 943 1130 1886 2260 2599 3772 4633 4715 5198 9266 9430 10396 12995 18532 18860 23165 25990 46330 51980 92660 106559 213118 426236 532795 1065590 2131180