Search a number
-
+
2095983104 = 2937110641
BaseRepresentation
bin111110011101110…
…0010101000000000
312102001221222021212
41330323202220000
513243032424404
6543552105252
7102640363625
oct17473425000
95361858255
102095983104
11986145146
124a5b35228
132753126b7
1415c52234c
15c402206e
hex7cee2a00

2095983104 has 40 divisors (see below), whose sum is σ = 4301097108. Its totient is φ = 1019658240.

The previous prime is 2095983079. The next prime is 2095983107. The reversal of 2095983104 is 4013895902.

It can be written as a sum of positive squares in 2 ways, for example, as 2011343104 + 84640000 = 44848^2 + 9200^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2095983107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36377 + ... + 74264.

Almost surely, 22095983104 is an apocalyptic number.

It is an amenable number.

2095983104 is an abundant number, since it is smaller than the sum of its proper divisors (2205114004).

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

2095983104 is an equidigital number, since it uses as much as digits as its factorization.

2095983104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110696 (or 110680 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 2095983104 is about 45781.9080423698. The cubic root of 2095983104 is about 1279.7621433029.

The spelling of 2095983104 in words is "two billion, ninety-five million, nine hundred eighty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1184 2368 4736 9472 18944 110641 221282 442564 885128 1770256 3540512 4093717 7081024 8187434 14162048 16374868 28324096 32749736 56648192 65499472 130998944 261997888 523995776 1047991552 2095983104