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513146004 = 223743142067
BaseRepresentation
bin11110100101011…
…111110010010100
31022202120111222120
4132211133302110
52022331133004
6122530255540
715500445330
oct3645376224
91282514876
10513146004
11243726208
12123a275b0
13824088b7
144c2187c0
15300b33d9
hex1e95fc94

513146004 has 48 divisors (see below), whose sum is σ = 1400222208. Its totient is φ = 143202528.

The previous prime is 513145993. The next prime is 513146009. The reversal of 513146004 is 400641315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513146009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67422 + ... + 74645.

It is an arithmetic number, because the mean of its divisors is an integer number (29171296).

Almost surely, 2513146004 is an apocalyptic number.

It is an amenable number.

513146004 is an abundant number, since it is smaller than the sum of its proper divisors (887076204).

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

513146004 is a wasteful number, since it uses less digits than its factorization.

513146004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142124 (or 142122 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 513146004 is about 22652.7261935512. The cubic root of 513146004 is about 800.5964323085.

Adding to 513146004 its reverse (400641315), we get a palindrome (913787319).

The spelling of 513146004 in words is "five hundred thirteen million, one hundred forty-six thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 142067 284134 426201 568268 852402 994469 1704804 1988938 2983407 3977876 5966814 6108881 11933628 12217762 18326643 24435524 36653286 42762167 73306572 85524334 128286501 171048668 256573002 513146004