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2132180 = 2251931181
BaseRepresentation
bin1000001000100011010100
311000022210122
420020203110
51021212210
6113411112
724060161
oct10104324
94008718
102132180
111226a36
12869a98
1359865b
143d7068
152c1b55
hex2088d4

2132180 has 48 divisors (see below), whose sum is σ = 4892160. Its totient is φ = 777600.

The previous prime is 2132177. The next prime is 2132209. The reversal of 2132180 is 812312.

It is a congruent 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, 11690 + ... + 11870.

It is an arithmetic number, because the mean of its divisors is an integer number (101920).

22132180 is an apocalyptic number.

2132180 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 2132180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446080).

2132180 is an abundant number, since it is smaller than the sum of its proper divisors (2759980).

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

2132180 is a wasteful number, since it uses less digits than its factorization.

2132180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2132180 is about 1460.1986166272. The cubic root of 2132180 is about 128.7087152012.

Adding to 2132180 its reverse (812312), we get a palindrome (2944492).

The spelling of 2132180 in words is "two million, one hundred thirty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 181 190 310 362 380 589 620 724 905 1178 1810 2356 2945 3439 3620 5611 5890 6878 11222 11780 13756 17195 22444 28055 34390 56110 68780 106609 112220 213218 426436 533045 1066090 2132180