Search a number
-
+
2125377060 = 2235175935317
BaseRepresentation
bin111111010101110…
…1010111000100100
312111010021100012220
41332223222320210
513323044031220
6550522112340
7103445256402
oct17653527044
95433240186
102125377060
119a07a1274
124b394b6b0
1327b434881
141623b4472
15c68cb540
hex7eaeae24

2125377060 has 96 divisors (see below), whose sum is σ = 6408097920. Its totient is φ = 524371968.

The previous prime is 2125377041. The next prime is 2125377151. The reversal of 2125377060 is 607735212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42522 + ... + 77838.

It is an arithmetic number, because the mean of its divisors is an integer number (66751020).

Almost surely, 22125377060 is an apocalyptic number.

2125377060 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 2125377060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204048960).

2125377060 is an abundant number, since it is smaller than the sum of its proper divisors (4282720860).

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

2125377060 is a wasteful number, since it uses less digits than its factorization.

2125377060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35405 (or 35403 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 2125377060 is about 46101.8118949787. The cubic root of 2125377060 is about 1285.7168321995.

The spelling of 2125377060 in words is "two billion, one hundred twenty-five million, three hundred seventy-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 59 60 68 85 102 118 170 177 204 236 255 295 340 354 510 590 708 885 1003 1020 1180 1770 2006 3009 3540 4012 5015 6018 10030 12036 15045 20060 30090 35317 60180 70634 105951 141268 176585 211902 353170 423804 529755 600389 706340 1059510 1200778 1801167 2083703 2119020 2401556 3001945 3602334 4167406 6003890 6251109 7204668 8334812 9005835 10418515 12007780 12502218 18011670 20837030 25004436 31255545 35422951 36023340 41674060 62511090 70845902 106268853 125022180 141691804 177114755 212537706 354229510 425075412 531344265 708459020 1062688530 2125377060