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32130640 = 2451932081
BaseRepresentation
bin111101010010…
…0011001010000
32020110101221201
41322210121100
531211140030
63104400544
7540051223
oct172443120
966411851
1032130640
1117156253
12a916154
13686ca19
1443a55ba
152c4a2ca
hex1ea4650

32130640 has 40 divisors (see below), whose sum is σ = 75126888. Its totient is φ = 12779520.

The previous prime is 32130617. The next prime is 32130641. The reversal of 32130640 is 4603123.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 31629376 = 708^2 + 5624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32130641) 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 7 ways as a sum of consecutive naturals, for example, 14400 + ... + 16480.

Almost surely, 232130640 is an apocalyptic number.

It is an amenable number.

32130640 is an abundant number, since it is smaller than the sum of its proper divisors (42996248).

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

32130640 is a wasteful number, since it uses less digits than its factorization.

32130640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 32130640 is about 5668.3895420128. The cubic root of 32130640 is about 317.9116614452.

Adding to 32130640 its reverse (4603123), we get a palindrome (36733763).

The spelling of 32130640 in words is "thirty-two million, one hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 2081 3088 3860 4162 7720 8324 10405 15440 16648 20810 33296 41620 83240 166480 401633 803266 1606532 2008165 3213064 4016330 6426128 8032660 16065320 32130640