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4005134540 = 2251118205157
BaseRepresentation
bin1110111010111001…
…1000000011001100
3101100010100220201022
43232232120003030
531200303301130
61501231533312
7201152040041
oct35656300314
911303326638
104005134540
111775880950
1293938a238
134ba9cb7c4
1429dccd1c8
1518693b7e5
hexeeb980cc

4005134540 has 24 divisors (see below), whose sum is σ = 9175399632. Its totient is φ = 1456412480.

The previous prime is 4005134537. The next prime is 4005134543. The reversal of 4005134540 is 454315004.

4005134540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4005134537) and next prime (4005134543).

It is a super-2 number, since 2×40051345402 = 32082205367002023200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4005134543) 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, 9102359 + ... + 9102798.

It is an arithmetic number, because the mean of its divisors is an integer number (382308318).

Almost surely, 24005134540 is an apocalyptic number.

It is an amenable number.

4005134540 is an abundant number, since it is smaller than the sum of its proper divisors (5170265092).

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

4005134540 is a wasteful number, since it uses less digits than its factorization.

4005134540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18205177 (or 18205175 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 4005134540 is about 63286.1322882036. The cubic root of 4005134540 is about 1588.0799760705.

Adding to 4005134540 its reverse (454315004), we get a palindrome (4459449544).

The spelling of 4005134540 in words is "four billion, five million, one hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 18205157 36410314 72820628 91025785 182051570 200256727 364103140 400513454 801026908 1001283635 2002567270 4005134540