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520113636 = 2234721812
BaseRepresentation
bin11111000000000…
…100110111100100
31100020200111210000
4133000010313210
52031122114021
6123335501300
715613615200
oct3700046744
91306614700
10520113636
11247655089
12126227830
13839a8163
144d10db00
15309dcb26
hex1f004de4

520113636 has 135 divisors (see below), whose sum is σ = 1590455097. Its totient is φ = 147782880.

The previous prime is 520113631. The next prime is 520113647. The reversal of 520113636 is 636311025.

The square root of 520113636 is 22806.

It is a perfect power (a square), and thus also a powerful number.

520113636 is a `hidden beast` number, since 5 + 20 + 1 + 1 + 3 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5731236 + 514382400 = 2394^2 + 22680^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (520113631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2873466 + ... + 2873646.

Almost surely, 2520113636 is an apocalyptic number.

520113636 is the 22806-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520113636

520113636 is an abundant number, since it is smaller than the sum of its proper divisors (1070341461).

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

520113636 is a wasteful number, since it uses less digits than its factorization.

520113636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The cubic root of 520113636 is about 804.2037242709.

The spelling of 520113636 in words is "five hundred twenty million, one hundred thirteen thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 181 189 196 252 294 324 362 378 441 543 567 588 724 756 882 1086 1134 1267 1323 1629 1764 2172 2268 2534 2646 3258 3801 3969 4887 5068 5292 6516 7602 7938 8869 9774 11403 14661 15204 15876 17738 19548 22806 26607 29322 32761 34209 35476 45612 53214 58644 65522 68418 79821 98283 102627 106428 131044 136836 159642 196566 205254 229327 239463 294849 319284 393132 410508 458654 478926 589698 687981 718389 884547 917308 957852 1179396 1375962 1436778 1605289 1769094 2063943 2653641 2751924 2873556 3210578 3538188 4127886 4815867 5307282 6191829 6421156 8255772 9631734 10614564 12383658 14447601 18575487 19263468 24767316 28895202 37150974 43342803 57790404 74301948 86685606 130028409 173371212 260056818 520113636