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2053530306 = 2365772441
BaseRepresentation
bin111101001100110…
…0110001011000010
312022010002011000000
41322121212023002
513201200432211
6535434140430
7101613501552
oct17231461302
95263064000
102053530306
11964189793
12493881716
1326959a5b9
14156a31162
15c0438656
hex7a6662c2

2053530306 has 56 divisors (see below), whose sum is σ = 4628229804. Its totient is φ = 683043840.

The previous prime is 2053530287. The next prime is 2053530319. The reversal of 2053530306 is 6030353502.

2053530306 is a `hidden beast` number, since 2 + 0 + 5 + 353 + 0 + 306 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2025810081 + 27720225 = 45009^2 + 5265^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2053530306.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 840046 + ... + 842486.

Almost surely, 22053530306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053530306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314114902).

2053530306 is an abundant number, since it is smaller than the sum of its proper divisors (2574699498).

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

2053530306 is an equidigital number, since it uses as much as digits as its factorization.

2053530306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 2053530306 is about 45315.8946287062. The cubic root of 2053530306 is about 1271.0628888993.

Adding to 2053530306 its reverse (6030353502), we get a palindrome (8083883808).

The spelling of 2053530306 in words is "two billion, fifty-three million, five hundred thirty thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 577 729 1154 1458 1731 2441 3462 4882 5193 7323 10386 14646 15579 21969 31158 43938 46737 65907 93474 131814 140211 197721 280422 395442 420633 593163 841266 1186326 1408457 1779489 2816914 3558978 4225371 8450742 12676113 25352226 38028339 76056678 114085017 228170034 342255051 684510102 1026765153 2053530306