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2141705082 = 2311210932699
BaseRepresentation
bin111111110100111…
…1101001101111010
312112020222220001110
41333221331031322
513341234030312
6552304101150
7104034123066
oct17751751572
95466886043
102141705082
119a9a33800
124b93047b6
1328193081a
14164624aa6
15c805443c
hex7fa7d37a

2141705082 has 48 divisors (see below), whose sum is σ = 4714264800. Its totient is φ = 648167520.

The previous prime is 2141705081. The next prime is 2141705113. The reversal of 2141705082 is 2805071412.

It is not an unprimeable number, because it can be changed into a prime (2141705081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792169 + ... + 794867.

It is an arithmetic number, because the mean of its divisors is an integer number (98213850).

Almost surely, 22141705082 is an apocalyptic number.

2141705082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141705082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357132400).

2141705082 is an abundant number, since it is smaller than the sum of its proper divisors (2572559718).

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

2141705082 is a wasteful number, since it uses less digits than its factorization.

2141705082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 2141705082 is about 46278.5596361857. The cubic root of 2141705082 is about 1289.0009053947. Note that the first 3 decimals are identical.

Adding to 2141705082 its reverse (2805071412), we get a palindrome (4946776494).

The spelling of 2141705082 in words is "two billion, one hundred forty-one million, seven hundred five thousand, eighty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1093 2186 2699 3279 5398 6558 8097 12023 16194 24046 29689 36069 59378 72138 89067 132253 178134 264506 326579 396759 653158 793518 979737 1959474 2950007 5900014 8850021 17700042 32450077 64900154 97350231 194700462 356950847 713901694 1070852541 2141705082