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2132004 = 2237171493
BaseRepresentation
bin1000001000100000100100
311000022120010
420020200210
51021211004
6113410220
724056520
oct10104044
94008503
102132004
111226896
12869970
13598554
143d6d80
152c1a89
hex208824

2132004 has 48 divisors (see below), whose sum is σ = 6023808. Its totient is φ = 572928.

The previous prime is 2132003. The next prime is 2132023. The reversal of 2132004 is 4002312.

2132004 = T337 + T338 + ... + T370.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2132003) 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 15 ways as a sum of consecutive naturals, for example, 682 + ... + 2174.

It is an arithmetic number, because the mean of its divisors is an integer number (125496).

22132004 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 2132004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011904).

2132004 is an abundant number, since it is smaller than the sum of its proper divisors (3891804).

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

2132004 is a wasteful number, since it uses less digits than its factorization.

2132004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2132004 is about 1460.1383496094. The cubic root of 2132004 is about 128.7051736995.

Adding to 2132004 its reverse (4002312), we get a palindrome (6134316).

The spelling of 2132004 in words is "two million, one hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 1493 2986 4479 5972 8958 10451 17916 20902 25381 31353 41804 50762 62706 76143 101524 125412 152286 177667 304572 355334 533001 710668 1066002 2132004