Search a number
-
+
2113936384 = 2107417193
BaseRepresentation
bin111111000000000…
…0001110000000000
312110022202002120011
41332000001300000
513312131431014
6545432554304
7103246106560
oct17600016000
95408662504
102113936384
1199529776a
124abb52994
13278c5a341
14160a76da0
15c58bb7c4
hex7e001c00

2113936384 has 88 divisors (see below), whose sum is σ = 4947975648. Its totient is φ = 883752960.

The previous prime is 2113936361. The next prime is 2113936387. The reversal of 2113936384 is 4836393112.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113936387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290292 + ... + 297484.

It is an arithmetic number, because the mean of its divisors is an integer number (56226996).

Almost surely, 22113936384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473987824).

2113936384 is an abundant number, since it is smaller than the sum of its proper divisors (2834039264).

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

2113936384 is an equidigital number, since it uses as much as digits as its factorization.

2113936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7261 (or 7243 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 2113936384 is about 45977.5639198077. The cubic root of 2113936384 is about 1283.4057219563.

The spelling of 2113936384 in words is "two billion, one hundred thirteen million, nine hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 512 574 656 896 1024 1148 1312 1792 2296 2624 3584 4592 5248 7168 7193 9184 10496 14386 18368 20992 28772 36736 41984 50351 57544 73472 100702 115088 146944 201404 230176 293888 294913 402808 460352 589826 805616 920704 1179652 1611232 1841408 2064391 2359304 3222464 3682816 4128782 4718608 6444928 7365632 8257564 9437216 12889856 16515128 18874432 25779712 33030256 37748864 51559424 66060512 75497728 132121024 150995456 264242048 301990912 528484096 1056968192 2113936384