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2132140 = 225176271
BaseRepresentation
bin1000001000100010101100
311000022202011
420020202230
51021212030
6113411004
724060103
oct10104254
94008664
102132140
1112269aa
12869a64
1359862a
143d703a
152c1b2a
hex2088ac

2132140 has 24 divisors (see below), whose sum is σ = 4741632. Its totient is φ = 802560.

The previous prime is 2132129. The next prime is 2132147. The reversal of 2132140 is 412312.

It is a super-3 number, since 3×21321403 = 29078259514333032000, which contains 333 as substring.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 2132140.

It is not an unprimeable number, because it can be changed into a prime (2132147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2796 + ... + 3475.

It is an arithmetic number, because the mean of its divisors is an integer number (197568).

22132140 is an apocalyptic number.

2132140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132140 is an abundant number, since it is smaller than the sum of its proper divisors (2609492).

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

2132140 is a wasteful number, since it uses less digits than its factorization.

2132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2132140 is about 1460.1849197961. The cubic root of 2132140 is about 128.7079103316.

Adding to 2132140 its reverse (412312), we get a palindrome (2544452).

The spelling of 2132140 in words is "two million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 6271 12542 25084 31355 62710 106607 125420 213214 426428 533035 1066070 2132140