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2105253520 = 24526315669
BaseRepresentation
bin111110101111011…
…1001111010010000
312102201101221220121
41331132321322100
513302421103040
6544522520024
7103112234236
oct17536717220
95381357817
102105253520
119903a7147
124a9066014
1327720a156
1415d856956
15c4c53c4a
hex7d7b9e90

2105253520 has 20 divisors (see below), whose sum is σ = 4894714620. Its totient is φ = 842101376.

The previous prime is 2105253499. The next prime is 2105253539. The reversal of 2105253520 is 253525012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 514200976 + 1591052544 = 22676^2 + 39888^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13157755 + ... + 13157914.

It is an arithmetic number, because the mean of its divisors is an integer number (244735731).

Almost surely, 22105253520 is an apocalyptic number.

2105253520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105253520 is an abundant number, since it is smaller than the sum of its proper divisors (2789461100).

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

2105253520 is a wasteful number, since it uses less digits than its factorization.

2105253520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26315682 (or 26315676 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 2105253520 is about 45883.0417474692. The cubic root of 2105253520 is about 1281.6461405414.

Adding to 2105253520 its reverse (253525012), we get a palindrome (2358778532).

The spelling of 2105253520 in words is "two billion, one hundred five million, two hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26315669 52631338 105262676 131578345 210525352 263156690 421050704 526313380 1052626760 2105253520