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2132544 = 26329383
BaseRepresentation
bin1000001000101001000000
311000100022010
420020221000
51021220134
6113412520
724061221
oct10105100
94010263
102132544
111227237
1286a140
1359887b
143d7248
152c1ce9
hex208a40

2132544 has 56 divisors (see below), whose sum is σ = 5852160. Its totient is φ = 684544.

The previous prime is 2132539. The next prime is 2132551. The reversal of 2132544 is 4452312.

It is a self number, because there is not a number n which added to its sum of digits gives 2132544.

It is a congruent number.

It is an unprimeable number.

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, 5377 + ... + 5759.

22132544 is an apocalyptic number.

2132544 is a gapful number since it is divisible by the number (24) 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 2132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926080).

2132544 is an abundant number, since it is smaller than the sum of its proper divisors (3719616).

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

2132544 is a wasteful number, since it uses less digits than its factorization.

2132544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 417 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 2132544 is about 1460.3232518864. The cubic root of 2132544 is about 128.7160390523.

Adding to 2132544 its reverse (4452312), we get a palindrome (6584856).

The spelling of 2132544 in words is "two million, one hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 383 464 696 766 928 1149 1392 1532 1856 2298 2784 3064 4596 5568 6128 9192 11107 12256 18384 22214 24512 33321 36768 44428 66642 73536 88856 133284 177712 266568 355424 533136 710848 1066272 2132544