Search a number
-
+
2095433640 = 233258776637
BaseRepresentation
bin111110011100101…
…1100011110101000
312102000221001120100
41330321130132220
513242412334030
6543532225400
7102632614656
oct17471343650
95360831510
102095433640
119858aa343
124a590b260
1327517c581
1415c41bdd6
15c3e64360
hex7ce5c7a8

2095433640 has 96 divisors (see below), whose sum is σ = 6818951880. Its totient is φ = 558061056.

The previous prime is 2095433629. The next prime is 2095433647. The reversal of 2095433640 is 463345902.

2095433640 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 4 + 3 + 3 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1413910404 + 681523236 = 37602^2 + 26106^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2095433595 and 2095433604.

It is not an unprimeable number, because it can be changed into a prime (2095433647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312402 + ... + 319038.

Almost surely, 22095433640 is an apocalyptic number.

2095433640 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 2095433640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409475940).

2095433640 is an abundant number, since it is smaller than the sum of its proper divisors (4723518240).

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

2095433640 is a wasteful number, since it uses less digits than its factorization.

2095433640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7531 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2095433640 is about 45775.9067632745. The cubic root of 2095433640 is about 1279.6503032344.

The spelling of 2095433640 in words is "two billion, ninety-five million, four hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 877 1754 2631 3508 4385 5262 6637 7016 7893 8770 10524 13155 13274 15786 17540 19911 21048 26310 26548 31572 33185 35080 39465 39822 52620 53096 59733 63144 66370 78930 79644 99555 105240 119466 132740 157860 159288 199110 238932 265480 298665 315720 398220 477864 597330 796440 1194660 2389320 5820649 11641298 17461947 23282596 29103245 34923894 46565192 52385841 58206490 69847788 87309735 104771682 116412980 139695576 174619470 209543364 232825960 261929205 349238940 419086728 523858410 698477880 1047716820 2095433640