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2132536 = 237113337
BaseRepresentation
bin1000001000101000111000
311000100021211
420020220320
51021220121
6113412504
724061210
oct10105070
94010254
102132536
11122722a
1286a134
13598873
143d7240
152c1ce1
hex208a38

2132536 has 32 divisors (see below), whose sum is σ = 4623840. Its totient is φ = 903168.

The previous prime is 2132513. The next prime is 2132539. The reversal of 2132536 is 6352312.

It is a d-powerful number, because it can be written as 27 + 1 + 34 + 211 + 59 + 311 + 6 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132539) 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, 6160 + ... + 6496.

It is an arithmetic number, because the mean of its divisors is an integer number (144495).

22132536 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 2132536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311920).

2132536 is an abundant number, since it is smaller than the sum of its proper divisors (2491304).

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

2132536 is a wasteful number, since it uses less digits than its factorization.

2132536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 2132536 is about 1460.3205127642. The cubic root of 2132536 is about 128.7158780975.

Adding to 2132536 its reverse (6352312), we get a palindrome (8484848).

The spelling of 2132536 in words is "two million, one hundred thirty-two thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 113 226 337 452 674 791 904 1348 1582 2359 2696 3164 4718 6328 9436 18872 38081 76162 152324 266567 304648 533134 1066268 2132536