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540260496 = 243310311213
BaseRepresentation
bin100000001100111…
…011100010010000
31101122121002002000
4200030323202100
52101301313441
6125335354000
716250065326
oct4014734220
91348532060
10540260496
11257a65786
12130b22900
1387c10389
1451a75d16
153266c2b6
hex2033b890

540260496 has 80 divisors (see below), whose sum is σ = 1553531520. Its totient is φ = 179763840.

The previous prime is 540260491. The next prime is 540260509. The reversal of 540260496 is 694062045.

540260496 is a `hidden beast` number, since 5 + 40 + 2 + 604 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 540260496.

It is not an unprimeable number, because it can be changed into a prime (540260491) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 444786 + ... + 445998.

It is an arithmetic number, because the mean of its divisors is an integer number (19419144).

Almost surely, 2540260496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540260496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776765760).

540260496 is an abundant number, since it is smaller than the sum of its proper divisors (1013271024).

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

540260496 is a wasteful number, since it uses less digits than its factorization.

540260496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 540260496 is about 23243.5043829454. The cubic root of 540260496 is about 814.4562074342.

The spelling of 540260496 in words is "five hundred forty million, two hundred sixty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1031 1213 2062 2426 3093 3639 4124 4852 6186 7278 8248 9279 9704 10917 12372 14556 16496 18558 19408 21834 24744 27837 29112 32751 37116 43668 49488 55674 58224 65502 74232 87336 111348 131004 148464 174672 222696 262008 445392 524016 1250603 2501206 3751809 5002412 7503618 10004824 11255427 15007236 20009648 22510854 30014472 33766281 45021708 60028944 67532562 90043416 135065124 180086832 270130248 540260496