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540430436 = 227133740127
BaseRepresentation
bin100000001101100…
…101000001100100
31101122220201012002
4200031211001210
52101322233221
6125343144432
716251403640
oct4015450144
91348821162
10540430436
11258071427
12130ba5118
1387c6c830
1451abbc20
15326a280b
hex20365064

540430436 has 48 divisors (see below), whose sum is σ = 1195493376. Its totient is φ = 208013184.

The previous prime is 540430427. The next prime is 540430439. The reversal of 540430436 is 634034045.

It is a junction number, because it is equal to n+sod(n) for n = 540430399 and 540430408.

It is not an unprimeable number, because it can be changed into a prime (540430439) 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, 6596 + ... + 33531.

It is an arithmetic number, because the mean of its divisors is an integer number (24906112).

Almost surely, 2540430436 is an apocalyptic number.

It is an amenable number.

540430436 is an abundant number, since it is smaller than the sum of its proper divisors (655062940).

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

540430436 is a wasteful number, since it uses less digits than its factorization.

540430436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40188 (or 40186 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 540430436 is about 23247.1597404930. The cubic root of 540430436 is about 814.5415947484.

The spelling of 540430436 in words is "five hundred forty million, four hundred thirty thousand, four hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 182 259 364 481 518 962 1036 1924 3367 6734 13468 40127 80254 160508 280889 521651 561778 1043302 1123556 1484699 2086604 2969398 3651557 5938796 7303114 10392893 14606228 19301087 20785786 38602174 41571572 77204348 135107609 270215218 540430436