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2105853120 = 26335734819
BaseRepresentation
bin111110110000100…
…1100010011000000
312102202112102102000
41331201030103000
513303044244440
6544543424000
7103120312320
oct17541142300
95382472360
102105853120
11990776688
124a92b5000
1327738a047
1415d971280
15c4d21730
hex7d84c4c0

2105853120 has 224 divisors, whose sum is σ = 8490508800. Its totient is φ = 481324032.

The previous prime is 2105853107. The next prime is 2105853137. The reversal of 2105853120 is 213585012.

It is a happy number.

2105853120 is a `hidden beast` number, since 2 + 105 + 8 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43071 + ... + 77889.

Almost surely, 22105853120 is an apocalyptic number.

2105853120 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 2105853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245254400).

2105853120 is an abundant number, since it is smaller than the sum of its proper divisors (6384655680).

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

2105853120 is a wasteful number, since it uses less digits than its factorization.

2105853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34852 (or 34836 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2105853120 is about 45889.5752867686. The cubic root of 2105853120 is about 1281.7678047612.

The spelling of 2105853120 in words is "two billion, one hundred five million, eight hundred fifty-three thousand, one hundred twenty".