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2130032 = 241741191
BaseRepresentation
bin1000001000000001110000
311000012212002
420020001300
51021130112
6113353132
724051002
oct10100160
94005762
102130032
111225363
128687a8
13597698
143d6372
152c11c2
hex208070

2130032 has 40 divisors (see below), whose sum is σ = 4499712. Its totient is φ = 972800.

The previous prime is 2130031. The next prime is 2130047. The reversal of 2130032 is 2300312.

2130032 is nontrivially palindromic in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 2129995 and 2130022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130031) 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 7 ways as a sum of consecutive naturals, for example, 11057 + ... + 11247.

22130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856).

2130032 is an abundant number, since it is smaller than the sum of its proper divisors (2369680).

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

2130032 is a wasteful number, since it uses less digits than its factorization.

2130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2130032 is about 1459.4629149108. The cubic root of 2130032 is about 128.6654794501.

Adding to 2130032 its reverse (2300312), we get a palindrome (4430344).

The spelling of 2130032 in words is "two million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 191 272 328 382 656 697 764 1394 1528 2788 3056 3247 5576 6494 7831 11152 12988 15662 25976 31324 51952 62648 125296 133127 266254 532508 1065016 2130032