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512006420 = 22525600321
BaseRepresentation
bin11110100001001…
…001100100010100
31022200102121202202
4132201021210110
52022033201140
6122450024032
715454661042
oct3641114424
91280377682
10512006420
11243018002
12123578018
13820c9ca3
144bddd392
152ee3a915
hex1e849914

512006420 has 12 divisors (see below), whose sum is σ = 1075213524. Its totient is φ = 204802560.

The previous prime is 512006387. The next prime is 512006431. The reversal of 512006420 is 24600215.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 108076816 + 403929604 = 10396^2 + 20098^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 25600321 = 512006420 / (5 + 1 + 2 + 0 + 0 + 6 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 512006392 and 512006401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12800141 + ... + 12800180.

It is an arithmetic number, because the mean of its divisors is an integer number (89601127).

Almost surely, 2512006420 is an apocalyptic number.

It is an amenable number.

512006420 is an abundant number, since it is smaller than the sum of its proper divisors (563207104).

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

512006420 is a wasteful number, since it uses less digits than its factorization.

512006420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25600330 (or 25600328 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 512006420 is about 22627.5588608228. The cubic root of 512006420 is about 800.0033437360.

Adding to 512006420 its reverse (24600215), we get a palindrome (536606635).

The spelling of 512006420 in words is "five hundred twelve million, six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 25600321 51200642 102401284 128001605 256003210 512006420