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32130400 = 255240163
BaseRepresentation
bin111101010010…
…0010101100000
32020110101121211
41322210111200
531211133100
63104355504
7540050431
oct172442540
966411554
1032130400
1117156055
12a915b94
13686c893
1443a5488
152c4a1ba
hex1ea4560

32130400 has 36 divisors (see below), whose sum is σ = 78440292. Its totient is φ = 12851840.

The previous prime is 32130367. The next prime is 32130407. The reversal of 32130400 is 403123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32130407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19282 + ... + 20881.

It is an arithmetic number, because the mean of its divisors is an integer number (2178897).

Almost surely, 232130400 is an apocalyptic number.

It is an amenable number.

32130400 is an abundant number, since it is smaller than the sum of its proper divisors (46309892).

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

32130400 is a wasteful number, since it uses less digits than its factorization.

32130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40183 (or 40170 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 32130400 is about 5668.3683719391. The cubic root of 32130400 is about 317.9108698956.

Adding to 32130400 its reverse (403123), we get a palindrome (32533523).

The spelling of 32130400 in words is "thirty-two million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 40163 80326 160652 200815 321304 401630 642608 803260 1004075 1285216 1606520 2008150 3213040 4016300 6426080 8032600 16065200 32130400