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2106260352 = 273271959233
BaseRepresentation
bin111110110001010…
…1111101110000000
312102210022010000200
41331202233232000
513303200312402
6545000245200
7103123626510
oct17542575600
95383263020
102106260352
11990a24639
124a9470800
132774a0501
1415da39840
15c4da221c
hex7d8afb80

2106260352 has 384 divisors, whose sum is σ = 7446816000. Its totient is φ = 558047232.

The previous prime is 2106260341. The next prime is 2106260389. The reversal of 2106260352 is 2530626012.

2106260352 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 2 + 603 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9039628 + ... + 9039860.

It is an arithmetic number, because the mean of its divisors is an integer number (19392750).

Almost surely, 22106260352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106260352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723408000).

2106260352 is an abundant number, since it is smaller than the sum of its proper divisors (5340555648).

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

2106260352 is a wasteful number, since it uses less digits than its factorization.

2106260352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2106260352 is about 45894.0121584505. The cubic root of 2106260352 is about 1281.8504226194.

Adding to 2106260352 its reverse (2530626012), we get a palindrome (4636886364).

The spelling of 2106260352 in words is "two billion, one hundred six million, two hundred sixty thousand, three hundred fifty-two".