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2095706240 = 2756153681
BaseRepresentation
bin111110011101001…
…1111000010000000
312102001102220111122
41330322133002000
513243000044430
6543542131412
7102635131505
oct17472370200
95361386448
102095706240
11985a76131
124a5a20b68
13275246684
1415c48d4ac
15c3eb9ee5
hex7ce9f080

2095706240 has 64 divisors (see below), whose sum is σ = 5092274520. Its totient is φ = 824524800.

The previous prime is 2095706201. The next prime is 2095706273. The reversal of 2095706240 is 426075902.

It can be written as a sum of positive squares in 4 ways, for example, as 976937536 + 1118768704 = 31256^2 + 33448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2095706240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12200 + ... + 65880.

Almost surely, 22095706240 is an apocalyptic number.

2095706240 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 2095706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546137260).

2095706240 is an abundant number, since it is smaller than the sum of its proper divisors (2996568280).

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

2095706240 is an equidigital number, since it uses as much as digits as its factorization.

2095706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53761 (or 53749 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 2095706240 is about 45778.8842153236. The cubic root of 2095706240 is about 1279.7057917564.

The spelling of 2095706240 in words is "two billion, ninety-five million, seven hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 305 320 488 610 640 976 1220 1952 2440 3904 4880 7808 9760 19520 39040 53681 107362 214724 268405 429448 536810 858896 1073620 1717792 2147240 3274541 3435584 4294480 6549082 6871168 8588960 13098164 16372705 17177920 26196328 32745410 34355840 52392656 65490820 104785312 130981640 209570624 261963280 419141248 523926560 1047853120 2095706240