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2105142360 = 233517542853
BaseRepresentation
bin111110101111001…
…1110110001011000
312102201012022102120
41331132132301120
513302404023420
6544520301240
7103111262166
oct17536366130
95381168376
102105142360
11990330682
124a9011820
1327719b689
1415d828236
15c4c30d40
hex7d79ec58

2105142360 has 32 divisors (see below), whose sum is σ = 6315427440. Its totient is φ = 561371264.

The previous prime is 2105142329. The next prime is 2105142371. The reversal of 2105142360 is 632415012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2105142360.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8771307 + ... + 8771546.

Almost surely, 22105142360 is an apocalyptic number.

2105142360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105142360 is an abundant number, since it is smaller than the sum of its proper divisors (4210285080).

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

2105142360 is a wasteful number, since it uses less digits than its factorization.

2105142360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17542867 (or 17542863 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2105142360 is about 45881.8303906895. The cubic root of 2105142360 is about 1281.6235826418.

Adding to 2105142360 its reverse (632415012), we get a palindrome (2737557372).

The spelling of 2105142360 in words is "two billion, one hundred five million, one hundred forty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17542853 35085706 52628559 70171412 87714265 105257118 140342824 175428530 210514236 263142795 350857060 421028472 526285590 701714120 1052571180 2105142360