Search a number
-
+
2578150140 = 2235435916937
BaseRepresentation
bin1001100110101011…
…0111001011111100
320122200020121010020
42121222313023330
520240001301030
61103454412140
7120613625466
oct23152671374
96580217106
102578150140
1111033313a5
125bb501050
13321192837
141a6595136
15101516510
hex99ab72fc

2578150140 has 96 divisors (see below), whose sum is σ = 7512341760. Its totient is φ = 660097536.

The previous prime is 2578150117. The next prime is 2578150207. The reversal of 2578150140 is 410518752.

It is a congruent number.

It is an unprimeable number.

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, 143752 + ... + 160688.

It is an arithmetic number, because the mean of its divisors is an integer number (78253560).

Almost surely, 22578150140 is an apocalyptic number.

2578150140 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 2578150140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756170880).

2578150140 is an abundant number, since it is smaller than the sum of its proper divisors (4934191620).

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

2578150140 is a wasteful number, since it uses less digits than its factorization.

2578150140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17051 (or 17049 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 2578150140 is about 50775.4875899779. The cubic root of 2578150140 is about 1371.2060950807.

Adding to 2578150140 its reverse (410518752), we get a palindrome (2988668892).

The spelling of 2578150140 in words is "two billion, five hundred seventy-eight million, one hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 59 60 86 118 129 172 177 215 236 258 295 354 430 516 590 645 708 860 885 1180 1290 1770 2537 2580 3540 5074 7611 10148 12685 15222 16937 25370 30444 33874 38055 50740 50811 67748 76110 84685 101622 152220 169370 203244 254055 338740 508110 728291 999283 1016220 1456582 1998566 2184873 2913164 2997849 3641455 3997132 4369746 4996415 5995698 7282910 8739492 9992830 10924365 11991396 14565820 14989245 19985660 21848730 29978490 42969169 43697460 59956980 85938338 128907507 171876676 214845845 257815014 429691690 515630028 644537535 859383380 1289075070 2578150140