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204412520 = 23513537417
BaseRepresentation
bin11000010111100…
…01011001101000
3112020122020021002
430023301121220
5404312200040
632141134132
75031322604
oct1413613150
9466566232
10204412520
11a5427174
125855a348
1333470870
141d210504
1512e2ba15
hexc2f1668

204412520 has 64 divisors (see below), whose sum is σ = 504720720. Its totient is φ = 74041344.

The previous prime is 204412517. The next prime is 204412529. The reversal of 204412520 is 25214402.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 105966436 + 98446084 = 10294^2 + 9922^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 204412492 and 204412501.

It is not an unprimeable number, because it can be changed into a prime (204412529) 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 15 ways as a sum of consecutive naturals, for example, 23852 + ... + 31268.

Almost surely, 2204412520 is an apocalyptic number.

204412520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252360360).

204412520 is an abundant number, since it is smaller than the sum of its proper divisors (300308200).

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

204412520 is a wasteful number, since it uses less digits than its factorization.

204412520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7494 (or 7490 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 204412520 is about 14297.2906524278. The cubic root of 204412520 is about 589.0730632881.

Adding to 204412520 its reverse (25214402), we get a palindrome (229626922).

The spelling of 204412520 in words is "two hundred four million, four hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 520 530 689 1060 1378 2120 2756 3445 5512 6890 7417 13780 14834 27560 29668 37085 59336 74170 96421 148340 192842 296680 385684 393101 482105 771368 786202 964210 1572404 1928420 1965505 3144808 3856840 3931010 5110313 7862020 10220626 15724040 20441252 25551565 40882504 51103130 102206260 204412520