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540132435 = 33518672143
BaseRepresentation
bin100000001100011…
…100010001010011
31101122100120102000
4200030130101103
52101233214220
6125332525043
716246023063
oct4014342123
91348316360
10540132435
11257988547
12130a80783
1387b96cbb
1451a413a3
1532644390
hex2031c453

540132435 has 32 divisors (see below), whose sum is σ = 961198080. Its totient is φ = 287781984.

The previous prime is 540132421. The next prime is 540132443. The reversal of 540132435 is 534231045.

It is not a de Polignac number, because 540132435 - 24 = 540132419 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 540132399 and 540132408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250974 + ... + 253116.

It is an arithmetic number, because the mean of its divisors is an integer number (30037440).

Almost surely, 2540132435 is an apocalyptic number.

540132435 is a deficient number, since it is larger than the sum of its proper divisors (421065645).

540132435 is a wasteful number, since it uses less digits than its factorization.

540132435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 540132435 is about 23240.7494500500. The cubic root of 540132435 is about 814.3918506291.

The spelling of 540132435 in words is "five hundred forty million, one hundred thirty-two thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 1867 2143 5601 6429 9335 10715 16803 19287 28005 32145 50409 57861 84015 96435 252045 289305 4000981 12002943 20004905 36008829 60014715 108026487 180044145 540132435