Search a number
-
+
536646420 = 223252981369
BaseRepresentation
bin11111111111001…
…001001100010100
31101101210110111100
4133333021030110
52044340141140
6125130110100
716204263552
oct3777111424
91341713440
10536646420
11255a17442
1212b87b330
138724637b
14513b4bd2
15321a6530
hex1ffc9314

536646420 has 36 divisors (see below), whose sum is σ = 1627828020. Its totient is φ = 143105664.

The previous prime is 536646413. The next prime is 536646427. The reversal of 536646420 is 24646635.

536646420 is a `hidden beast` number, since 5 + 3 + 6 + 6 + 4 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (536646413) and next prime (536646427).

It can be written as a sum of positive squares in 2 ways, for example, as 99920016 + 436726404 = 9996^2 + 20898^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536646427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1490505 + ... + 1490864.

It is an arithmetic number, because the mean of its divisors is an integer number (45217445).

Almost surely, 2536646420 is an apocalyptic number.

It is an amenable number.

536646420 is an abundant number, since it is smaller than the sum of its proper divisors (1091181600).

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

536646420 is a wasteful number, since it uses less digits than its factorization.

536646420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981384 (or 2981379 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 536646420 is about 23165.6301446777. The cubic root of 536646420 is about 812.6360393909.

The spelling of 536646420 in words is "five hundred thirty-six million, six hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2981369 5962738 8944107 11925476 14906845 17888214 26832321 29813690 35776428 44720535 53664642 59627380 89441070 107329284 134161605 178882140 268323210 536646420