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512354020 = 22529283367
BaseRepresentation
bin11110100010011…
…110011011100100
31022201002021120211
4132202132123210
52022130312040
6122501305204
715460636333
oct3642363344
91281067524
10512354020
11243235182
12123705204
13821bc279
144c08dd1a
152eea88ea
hex1e89e6e4

512354020 has 72 divisors (see below), whose sum is σ = 1130822784. Its totient is φ = 194957952.

The previous prime is 512354009. The next prime is 512354039. The reversal of 512354020 is 20453215.

It is a junction number, because it is equal to n+sod(n) for n = 512353982 and 512354000.

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, 1395877 + ... + 1396243.

It is an arithmetic number, because the mean of its divisors is an integer number (15705872).

Almost surely, 2512354020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512354020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565411392).

512354020 is an abundant number, since it is smaller than the sum of its proper divisors (618468764).

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

512354020 is a wasteful number, since it uses less digits than its factorization.

512354020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 512354020 is about 22635.2384568840. The cubic root of 512354020 is about 800.1843429355.

It can be divided in two parts, 51235 and 4020, that added together give a palindrome (55255).

The spelling of 512354020 in words is "five hundred twelve million, three hundred fifty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 83 116 145 166 290 332 367 415 580 734 830 841 1468 1660 1682 1835 2407 3364 3670 4205 4814 7340 8410 9628 10643 12035 16820 21286 24070 30461 42572 48140 53215 60922 69803 106430 121844 139606 152305 212860 279212 304610 308647 349015 609220 617294 698030 883369 1234588 1396060 1543235 1766738 3086470 3533476 4416845 6172940 8833690 17667380 25617701 51235402 102470804 128088505 256177010 512354020