Search a number
-
+
513043206 = 2313191033361
BaseRepresentation
bin11110100101000…
…110101100000110
31022202101021222020
4132211012230012
52022314340311
6122524144010
715466536534
oct3645065406
91282337866
10513043206
11243665a55
12123998006
13823a0b80
144c1cd154
1530092c06
hex1e946b06

513043206 has 64 divisors (see below), whose sum is σ = 1174817280. Its totient is φ = 148055040.

The previous prime is 513043199. The next prime is 513043213. The reversal of 513043206 is 602340315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (513043199) and next prime (513043213).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150966 + ... + 154326.

It is an arithmetic number, because the mean of its divisors is an integer number (18356520).

Almost surely, 2513043206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513043206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587408640).

513043206 is an abundant number, since it is smaller than the sum of its proper divisors (661774074).

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

513043206 is a wasteful number, since it uses less digits than its factorization.

513043206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 513043206 is about 22650.4570814807. The cubic root of 513043206 is about 800.5429678573.

The spelling of 513043206 in words is "five hundred thirteen million, forty-three thousand, two hundred six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 103 114 206 247 309 494 618 741 1339 1482 1957 2678 3361 3914 4017 5871 6722 8034 10083 11742 20166 25441 43693 50882 63859 76323 87386 127718 131079 152646 191577 262158 346183 383154 692366 830167 1038549 1660334 2077098 2490501 4500379 4981002 6577477 9000758 13154954 13501137 19732431 27002274 39464862 85507201 171014402 256521603 513043206