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465580141 = 13304111777
BaseRepresentation
bin11011110000000…
…011000001101101
31012110001220212221
4123300003001231
51423142031031
6114110555341
714352236335
oct3360030155
91173056787
10465580141
11219898284
1210bb08b51
13755c3410
1445b960c5
152ad19a11
hex1bc0306d

465580141 has 8 divisors (see below), whose sum is σ = 501601464. Its totient is φ = 429588480.

The previous prime is 465580127. The next prime is 465580183. The reversal of 465580141 is 141085564.

It can be written as a sum of positive squares in 4 ways, for example, as 157402116 + 308178025 = 12546^2 + 17555^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 465580141 - 25 = 465580109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 465580097 and 465580106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465581141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33645 + ... + 45421.

It is an arithmetic number, because the mean of its divisors is an integer number (62700183).

Almost surely, 2465580141 is an apocalyptic number.

It is an amenable number.

465580141 is a deficient number, since it is larger than the sum of its proper divisors (36021323).

465580141 is a wasteful number, since it uses less digits than its factorization.

465580141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14831.

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 465580141 is about 21577.3061571643. The cubic root of 465580141 is about 775.0531443265.

The spelling of 465580141 in words is "four hundred sixty-five million, five hundred eighty thousand, one hundred forty-one".

Divisors: 1 13 3041 11777 39533 153101 35813857 465580141