[go: up one dir, main page]

Search a number
-
+
2041755114 = 2371713720873
BaseRepresentation
bin111100110110010…
…1011010111101010
312021021220220110210
41321230223113222
513140142130424
6534333521550
7101411426550
oct17154532752
95237826423
102041755114
11958576923
1248b9432b6
13267006a29
14155247bd0
15be3ae729
hex79b2b5ea

2041755114 has 64 divisors (see below), whose sum is σ = 4977697536. Its totient is φ = 545009664.

The previous prime is 2041755113. The next prime is 2041755137. The reversal of 2041755114 is 4115571402.

It is not an unprimeable number, because it can be changed into a prime (2041755113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 87382 + ... + 108254.

It is an arithmetic number, because the mean of its divisors is an integer number (77776524).

Almost surely, 22041755114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041755114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488848768).

2041755114 is an abundant number, since it is smaller than the sum of its proper divisors (2935942422).

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

2041755114 is a wasteful number, since it uses less digits than its factorization.

2041755114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21039.

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 2041755114 is about 45185.7844238650. The cubic root of 2041755114 is about 1268.6287541235.

The spelling of 2041755114 in words is "two billion, forty-one million, seven hundred fifty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 137 238 274 357 411 714 822 959 1918 2329 2877 4658 5754 6987 13974 16303 20873 32606 41746 48909 62619 97818 125238 146111 292222 354841 438333 709682 876666 1064523 2129046 2483887 2859601 4967774 5719202 7451661 8578803 14903322 17157606 20017207 40034414 48613217 60051621 97226434 120103242 145839651 291679302 340292519 680585038 1020877557 2041755114