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540131332 = 221347613623
BaseRepresentation
bin100000001100011…
…100000000000100
31101122100111220011
4200030130000010
52101233200312
6125332520004
716246016626
oct4014340004
91348314804
10540131332
11257987734
12130a80004
1387b96650
1451a40c16
1532643da7
hex2031c004

540131332 has 48 divisors (see below), whose sum is σ = 1056932352. Its totient is φ = 239921280.

The previous prime is 540131329. The next prime is 540131341. The reversal of 540131332 is 233131045.

It is a super-3 number, since 3×5401313323 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147273 + ... + 150895.

It is an arithmetic number, because the mean of its divisors is an integer number (22019424).

Almost surely, 2540131332 is an apocalyptic number.

540131332 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

540131332 is a deficient number, since it is larger than the sum of its proper divisors (516801020).

540131332 is a wasteful number, since it uses less digits than its factorization.

540131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 540131332 is about 23240.7257201663. The cubic root of 540131332 is about 814.3912962744.

Adding to 540131332 its reverse (233131045), we get a palindrome (773262377).

The spelling of 540131332 in words is "five hundred forty million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 13 26 47 52 61 94 122 188 244 611 793 1222 1586 2444 2867 3172 3623 5734 7246 11468 14492 37271 47099 74542 94198 149084 170281 188396 221003 340562 442006 681124 884012 2213653 2873039 4427306 5746078 8854612 10387141 11492156 20774282 41548564 135032833 270065666 540131332