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210144020 = 22510699829
BaseRepresentation
bin11001000011010…
…00101100010100
3112122102102101212
430201220230110
5412244102040
632504040552
75131123532
oct1441505424
9478372355
10210144020
11a8691349
125a463158
13346c9598
141dca3152
15136aed65
hexc868b14

210144020 has 24 divisors (see below), whose sum is σ = 441760200. Its totient is φ = 83970432.

The previous prime is 210144013. The next prime is 210144023. The reversal of 210144020 is 20441012.

It can be written as a sum of positive squares in 4 ways, for example, as 56731024 + 153412996 = 7532^2 + 12386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210143986 and 210144004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210144023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16466 + ... + 26294.

It is an arithmetic number, because the mean of its divisors is an integer number (18406675).

Almost surely, 2210144020 is an apocalyptic number.

210144020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210144020 is an abundant number, since it is smaller than the sum of its proper divisors (231616180).

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

210144020 is a wasteful number, since it uses less digits than its factorization.

210144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10907 (or 10905 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 210144020 is about 14496.3450565996. The cubic root of 210144020 is about 594.5280441684.

Adding to 210144020 its reverse (20441012), we get a palindrome (230585032).

The spelling of 210144020 in words is "two hundred ten million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 1069 2138 4276 5345 9829 10690 19658 21380 39316 49145 98290 196580 10507201 21014402 42028804 52536005 105072010 210144020