Search a number
-
+
2126341080 = 233257380911
BaseRepresentation
bin111111010111101…
…0110001111011000
312111012002022121100
41332233112033120
513323320403310
6550554511400
7103456413063
oct17657261730
95435068540
102126341080
119a129a586
124b4135560
1327b6b15b6
141625858da
15c6a1bec0
hex7ebd63d8

2126341080 has 96 divisors (see below), whose sum is σ = 7005360960. Its totient is φ = 559249920.

The previous prime is 2126341073. The next prime is 2126341093. The reversal of 2126341080 is 801436212.

2126341080 is a `hidden beast` number, since 2 + 12 + 634 + 10 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14176 + ... + 66735.

It is an arithmetic number, because the mean of its divisors is an integer number (72972510).

Almost surely, 22126341080 is an apocalyptic number.

2126341080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126341080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502680480).

2126341080 is an abundant number, since it is smaller than the sum of its proper divisors (4879019880).

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

2126341080 is a wasteful number, since it uses less digits than its factorization.

2126341080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81001 (or 80994 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2126341080 is about 46112.2660471159. The cubic root of 2126341080 is about 1285.9111929109.

Adding to 2126341080 its reverse (801436212), we get a palindrome (2927777292).

It can be divided in two parts, 2126 and 341080, that added together give a triangular number (343206 = T828).

The spelling of 2126341080 in words is "two billion, one hundred twenty-six million, three hundred forty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 80911 161822 242733 323644 404555 485466 647288 728199 809110 970932 1213665 1456398 1618220 1941864 2427330 2912796 3236440 3640995 4854660 5825592 5906503 7281990 9709320 11813006 14563980 17719509 23626012 29127960 29532515 35439018 47252024 53158527 59065030 70878036 88597545 106317054 118130060 141756072 177195090 212634108 236260120 265792635 354390180 425268216 531585270 708780360 1063170540 2126341080