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540402129 = 32105157131
BaseRepresentation
bin100000001101011…
…110000111010001
31101122212021100200
4200031132013101
52101320332004
6125342405413
716251225261
oct4015360721
91348767320
10540402129
11258052133
12130b90869
1387c5c997
1451ab17a1
1532699239
hex2035e1d1

540402129 has 12 divisors (see below), whose sum is σ = 781337232. Its totient is φ = 359919000.

The previous prime is 540402097. The next prime is 540402133. The reversal of 540402129 is 921204045.

It is not a de Polignac number, because 540402129 - 25 = 540402097 is a prime.

It is a super-2 number, since 2×5404021292 = 584068922055465282, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (540402139) 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 11 ways as a sum of consecutive naturals, for example, 19107 + ... + 38024.

It is an arithmetic number, because the mean of its divisors is an integer number (65111436).

Almost surely, 2540402129 is an apocalyptic number.

It is an amenable number.

540402129 is a deficient number, since it is larger than the sum of its proper divisors (240935103).

540402129 is a wasteful number, since it uses less digits than its factorization.

540402129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58188 (or 58185 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 540402129 is about 23246.5509054569. The cubic root of 540402129 is about 814.5273729788.

It can be divided in two parts, 54040 and 2129, that added together give a square (56169 = 2372).

The spelling of 540402129 in words is "five hundred forty million, four hundred two thousand, one hundred twenty-nine".

Divisors: 1 3 9 1051 3153 9459 57131 171393 514179 60044681 180134043 540402129