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17132004 = 2232475889
BaseRepresentation
bin100000101011…
…0100111100100
31012020101200200
41001112213210
513341211004
61411110500
7265422351
oct101264744
935211620
1017132004
11974158a
1258a2430
13371aba6
1423bd628
151786239
hex10569e4

17132004 has 18 divisors (see below), whose sum is σ = 43305990. Its totient is φ = 5710656.

The previous prime is 17131993. The next prime is 17132009. The reversal of 17132004 is 40023171.

It can be written as a sum of positive squares in only one way, i.e., 14062500 + 3069504 = 3750^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×171320042 = 587011122112032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (17132009) 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, 237909 + ... + 237980.

Almost surely, 217132004 is an apocalyptic number.

It is an amenable number.

17132004 is an abundant number, since it is smaller than the sum of its proper divisors (26173986).

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

17132004 is a wasteful number, since it uses less digits than its factorization.

17132004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475899 (or 475894 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 17132004 is about 4139.0825070298. The cubic root of 17132004 is about 257.7919722058.

Adding to 17132004 its reverse (40023171), we get a palindrome (57155175).

The spelling of 17132004 in words is "seventeen million, one hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 475889 951778 1427667 1903556 2855334 4283001 5710668 8566002 17132004