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2113834268 = 2271337315569
BaseRepresentation
bin111110111111110…
…1000110100011100
312110022112220111002
41331333220310130
513312120144033
6545430445432
7103245203060
oct17577506434
95408486432
102113834268
11995227a77
124abb03878
13278c22a10
14160a4baa0
15c589b3e8
hex7dfe8d1c

2113834268 has 48 divisors (see below), whose sum is σ = 4565373120. Its totient is φ = 833946624.

The previous prime is 2113834267. The next prime is 2113834277. The reversal of 2113834268 is 8624383112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113834267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127988 + ... + 143556.

It is an arithmetic number, because the mean of its divisors is an integer number (95111940).

Almost surely, 22113834268 is an apocalyptic number.

2113834268 is a gapful number since it is divisible by the number (28) 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 2113834268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282686560).

2113834268 is an abundant number, since it is smaller than the sum of its proper divisors (2451538852).

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

2113834268 is a wasteful number, since it uses less digits than its factorization.

2113834268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15966 (or 15964 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 2113834268 is about 45976.4534082393. The cubic root of 2113834268 is about 1283.3850561864.

The spelling of 2113834268 in words is "two billion, one hundred thirteen million, eight hundred thirty-four thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 373 746 1492 2611 4849 5222 9698 10444 15569 19396 31138 33943 62276 67886 108983 135772 202397 217966 404794 435932 809588 1416779 2833558 5667116 5807237 11614474 23228948 40650659 75494081 81301318 150988162 162602636 301976324 528458567 1056917134 2113834268