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540260376 = 233533491217
BaseRepresentation
bin100000001100111…
…011100000011000
31101122121001220120
4200030323200120
52101301313001
6125335353240
716250065065
oct4014734030
91348531816
10540260376
11257a65687
12130b22820
1387c102c6
1451a75c6c
153266c236
hex2033b818

540260376 has 64 divisors (see below), whose sum is σ = 1381212000. Its totient is φ = 176037888.

The previous prime is 540260339. The next prime is 540260377. The reversal of 540260376 is 673062045.

It is a super-2 number, since 2×5402603762 = 583762547751322752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540260377) 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, 443320 + ... + 444536.

Almost surely, 2540260376 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 540260376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690606000).

540260376 is an abundant number, since it is smaller than the sum of its proper divisors (840951624).

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

540260376 is a wasteful number, since it uses less digits than its factorization.

540260376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 540260376 is about 23243.5018015789. The cubic root of 540260376 is about 814.4561471332.

The spelling of 540260376 in words is "five hundred forty million, two hundred sixty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 349 424 636 698 1047 1217 1272 1396 2094 2434 2792 3651 4188 4868 7302 8376 9736 14604 18497 29208 36994 55491 64501 73988 110982 129002 147976 193503 221964 258004 387006 424733 443928 516008 774012 849466 1274199 1548024 1698932 2548398 3397864 5096796 10193592 22510849 45021698 67532547 90043396 135065094 180086792 270130188 540260376