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2105142320 = 24526314279
BaseRepresentation
bin111110101111001…
…1110110000110000
312102201012022101002
41331132132300300
513302404023240
6544520301132
7103111262111
oct17536366060
95381168332
102105142320
11990330646
124a90117a8
1327719b658
1415d828208
15c4c30d15
hex7d79ec30

2105142320 has 20 divisors (see below), whose sum is σ = 4894456080. Its totient is φ = 842056896.

The previous prime is 2105142311. The next prime is 2105142329. The reversal of 2105142320 is 232415012.

2105142320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2105142311) and next prime (2105142329).

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2105142292 and 2105142301.

It is not an unprimeable number, because it can be changed into a prime (2105142329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13157060 + ... + 13157219.

It is an arithmetic number, because the mean of its divisors is an integer number (244722804).

Almost surely, 22105142320 is an apocalyptic number.

2105142320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105142320 is an abundant number, since it is smaller than the sum of its proper divisors (2789313760).

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

2105142320 is a wasteful number, since it uses less digits than its factorization.

2105142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26314292 (or 26314286 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2105142320 is about 45881.8299547871. The cubic root of 2105142320 is about 1281.6235745244.

Adding to 2105142320 its reverse (232415012), we get a palindrome (2337557332).

The spelling of 2105142320 in words is "two billion, one hundred five million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26314279 52628558 105257116 131571395 210514232 263142790 421028464 526285580 1052571160 2105142320