Search a number
-
+
2543348140 = 225296765449
BaseRepresentation
bin1001011110011000…
…0110100110101100
320120020202110202021
42113212012212230
520202044120030
61100212435524
7120012050104
oct22746064654
96506673667
102543348140
111095721113
125ab918ba4
13316bc8c38
141a1ad6204
15ed43e97a
hex979869ac

2543348140 has 48 divisors (see below), whose sum is σ = 5607756000. Its totient is φ = 967583232.

The previous prime is 2543348131. The next prime is 2543348201. The reversal of 2543348140 is 418433452.

2543348140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25433481402 = 12937239522482919200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2543348096 and 2543348105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6136 + ... + 71584.

It is an arithmetic number, because the mean of its divisors is an integer number (116828250).

Almost surely, 22543348140 is an apocalyptic number.

2543348140 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 2543348140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803878000).

2543348140 is an abundant number, since it is smaller than the sum of its proper divisors (3064407860).

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

2543348140 is a wasteful number, since it uses less digits than its factorization.

2543348140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65554 (or 65552 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 2543348140 is about 50431.6184550922. The cubic root of 2543348140 is about 1365.0082320927.

The spelling of 2543348140 in words is "two billion, five hundred forty-three million, three hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 67 116 134 145 268 290 335 580 670 1340 1943 3886 7772 9715 19430 38860 65449 130898 261796 327245 654490 1308980 1898021 3796042 4385083 7592084 8770166 9490105 17540332 18980210 21925415 37960420 43850830 87701660 127167407 254334814 508669628 635837035 1271674070 2543348140