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513204146 = 274138221
BaseRepresentation
bin11110100101101…
…101111110110010
31022202200110201222
4132211231332302
52022340013041
6122531425042
715501110000
oct3645557662
91282613658
10513204146
11243765964
12123a55182
13824291c0
144c231a70
15300c574b
hex1e96dfb2

513204146 has 40 divisors (see below), whose sum is σ = 967252524. Its totient is φ = 203001120.

The previous prime is 513204137. The next prime is 513204149. The reversal of 513204146 is 641402315.

It can be written as a sum of positive squares in 2 ways, for example, as 510262921 + 2941225 = 22589^2 + 1715^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (513204149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58316 + ... + 66536.

Almost surely, 2513204146 is an apocalyptic number.

513204146 is a deficient number, since it is larger than the sum of its proper divisors (454048378).

513204146 is an equidigital number, since it uses as much as digits as its factorization.

513204146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8264 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 513204146 is about 22654.0094905957. The cubic root of 513204146 is about 800.6266683553.

The spelling of 513204146 in words is "five hundred thirteen million, two hundred four thousand, one hundred forty-six".

Divisors: 1 2 7 13 14 26 49 91 98 182 343 637 686 1274 2401 4459 4802 8221 8918 16442 31213 57547 62426 106873 115094 213746 402829 748111 805658 1496222 2819803 5236777 5639606 10473554 19738621 36657439 39477242 73314878 256602073 513204146