[go: up one dir, main page]

Search a number
-
+
540302631 = 311210114737
BaseRepresentation
bin100000001101000…
…101110100100111
31101122200012212120
4200031011310213
52101304141011
6125340321023
716250332221
oct4015056447
91348605776
10540302631
11257a94400
12130b43173
1387c265cb
1451a87411
1532679a06
hex20345d27

540302631 has 24 divisors (see below), whose sum is σ = 799742832. Its totient is φ = 324192000.

The previous prime is 540302629. The next prime is 540302657. The reversal of 540302631 is 136203045.

It is a happy number.

It is not a de Polignac number, because 540302631 - 21 = 540302629 is a prime.

It is a super-2 number, since 2×5403026312 = 583853866131044322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540302431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29295 + ... + 44031.

It is an arithmetic number, because the mean of its divisors is an integer number (33322618).

Almost surely, 2540302631 is an apocalyptic number.

540302631 is a deficient number, since it is larger than the sum of its proper divisors (259440201).

540302631 is a wasteful number, since it uses less digits than its factorization.

540302631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14863 (or 14852 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 540302631 is about 23244.4107475324. The cubic root of 540302631 is about 814.4773800725.

Adding to 540302631 its reverse (136203045), we get a palindrome (676505676).

The spelling of 540302631 in words is "five hundred forty million, three hundred two thousand, six hundred thirty-one".

Divisors: 1 3 11 33 101 121 303 363 1111 3333 12221 14737 36663 44211 162107 486321 1488437 1783177 4465311 5349531 16372807 49118421 180100877 540302631