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210004020 = 223255322013
BaseRepresentation
bin11001000010001…
…10100000110100
3112122011022100200
430201012200310
5412230112040
632501040500
75130001422
oct1441064064
9478138320
10210004020
11a85a6146
125a3b6130
133467a945
141dc68112
1513683630
hexc846834

210004020 has 72 divisors (see below), whose sum is σ = 649060776. Its totient is φ = 54941952.

The previous prime is 210004001. The next prime is 210004021. The reversal of 210004020 is 20400012.

210004020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54552996 + 155451024 = 7386^2 + 12468^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210003993 and 210004011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210004021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1467 + ... + 20546.

It is an arithmetic number, because the mean of its divisors is an integer number (9014733).

Almost surely, 2210004020 is an apocalyptic number.

210004020 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 210004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324530388).

210004020 is an abundant number, since it is smaller than the sum of its proper divisors (439056756).

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

210004020 is a wasteful number, since it uses less digits than its factorization.

210004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22081 (or 22076 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 210004020 is about 14491.5154487031. The cubic root of 210004020 is about 594.3959880404.

Adding to 210004020 its reverse (20400012), we get a palindrome (230404032).

The spelling of 210004020 in words is "two hundred ten million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 22013 44026 66039 88052 110065 132078 198117 220130 264156 330195 396234 440260 660390 792468 990585 1166689 1320780 1981170 2333378 3500067 3962340 4666756 5833445 7000134 10500201 11666890 14000268 17500335 21000402 23333780 35000670 42000804 52501005 70001340 105002010 210004020