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2125542760 = 2351138312613
BaseRepresentation
bin111111010110001…
…0011010101101000
312111010120202111221
41332230103111220
513323114332020
6550525431424
7103446546445
oct17654232550
95433522457
102125542760
119a08a4810
124b3a0b574
1327b492113
141624189cc
15c69106aa
hex7eb13568

2125542760 has 64 divisors (see below), whose sum is σ = 5231278080. Its totient is φ = 770845440.

The previous prime is 2125542721. The next prime is 2125542763. The reversal of 2125542760 is 672455212.

It is not an unprimeable number, because it can be changed into a prime (2125542763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 162214 + ... + 174826.

It is an arithmetic number, because the mean of its divisors is an integer number (81738720).

Almost surely, 22125542760 is an apocalyptic number.

2125542760 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 2125542760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615639040).

2125542760 is an abundant number, since it is smaller than the sum of its proper divisors (3105735320).

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

2125542760 is a wasteful number, since it uses less digits than its factorization.

2125542760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13018 (or 13014 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 2125542760 is about 46103.6089693638. The cubic root of 2125542760 is about 1285.7502439561.

Adding to 2125542760 its reverse (672455212), we get a palindrome (2797997972).

The spelling of 2125542760 in words is "two billion, one hundred twenty-five million, five hundred forty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 383 440 766 1532 1915 3064 3830 4213 7660 8426 12613 15320 16852 21065 25226 33704 42130 50452 63065 84260 100904 126130 138743 168520 252260 277486 504520 554972 693715 1109944 1387430 2774860 4830779 5549720 9661558 19323116 24153895 38646232 48307790 53138569 96615580 106277138 193231160 212554276 265692845 425108552 531385690 1062771380 2125542760