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2125050320 = 245176132549
BaseRepresentation
bin111111010101001…
…1011000111010000
312111002122202000102
41332222123013100
513323003102240
6550511111532
7103442425661
oct17652330720
95432582012
102125050320
119a0598838
124b38125a8
1327b34bc33
1416232b368
15c6864815
hex7ea9b1d0

2125050320 has 80 divisors (see below), whose sum is σ = 5241963600. Its totient is φ = 798400512.

The previous prime is 2125050299. The next prime is 2125050349. The reversal of 2125050320 is 230505212.

It can be written as a sum of positive squares in 8 ways, for example, as 2421136 + 2122629184 = 1556^2 + 46072^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2125050292 and 2125050301.

It is a congruent number.

It is an unprimeable number.

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, 832406 + ... + 834954.

It is an arithmetic number, because the mean of its divisors is an integer number (65524545).

Almost surely, 22125050320 is an apocalyptic number.

2125050320 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 2125050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620981800).

2125050320 is an abundant number, since it is smaller than the sum of its proper divisors (3116913280).

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

2125050320 is a wasteful number, since it uses less digits than its factorization.

2125050320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2125050320 is about 46098.2680802652. The cubic root of 2125050320 is about 1285.6509432404.

Adding to 2125050320 its reverse (230505212), we get a palindrome (2355555532).

The spelling of 2125050320 in words is "two billion, one hundred twenty-five million, fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 613 680 1226 1360 2452 2549 3065 4904 5098 6130 9808 10196 10421 12260 12745 20392 20842 24520 25490 40784 41684 43333 49040 50980 52105 83368 86666 101960 104210 166736 173332 203920 208420 216665 346664 416840 433330 693328 833680 866660 1562537 1733320 3125074 3466640 6250148 7812685 12500296 15625370 25000592 26563129 31250740 53126258 62501480 106252516 125002960 132815645 212505032 265631290 425010064 531262580 1062525160 2125050320