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513043020 = 223257407177
BaseRepresentation
bin11110100101000…
…110101001001100
31022202101021201100
4132211012221030
52022314334040
6122524143100
715466536150
oct3645065114
91282337640
10513043020
112436658a6
12123997a90
13823a0a69
144c1cd060
1530092b30
hex1e946a4c

513043020 has 72 divisors (see below), whose sum is σ = 1778553504. Its totient is φ = 117266688.

The previous prime is 513043007. The next prime is 513043061. The reversal of 513043020 is 20340315.

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

It is a junction number, because it is equal to n+sod(n) for n = 513042984 and 513043002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202329 + ... + 204848.

It is an arithmetic number, because the mean of its divisors is an integer number (24702132).

Almost surely, 2513043020 is an apocalyptic number.

It is an amenable number.

513043020 is an abundant number, since it is smaller than the sum of its proper divisors (1265510484).

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

513043020 is a wasteful number, since it uses less digits than its factorization.

513043020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407199 (or 407194 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 513043020 is about 22650.4529756029. The cubic root of 513043020 is about 800.5428711137.

Adding to 513043020 its reverse (20340315), we get a palindrome (533383335).

The spelling of 513043020 in words is "five hundred thirteen million, forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 407177 814354 1221531 1628708 2035885 2443062 2850239 3664593 4071770 4886124 5700478 6107655 7329186 8143540 8550717 11400956 12215310 14251195 14658372 17101434 18322965 24430620 25652151 28502390 34202868 36645930 42753585 51304302 57004780 73291860 85507170 102608604 128260755 171014340 256521510 513043020