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540335124 = 223473747137
BaseRepresentation
bin100000001101001…
…101110000010100
31101122201212110000
4200031031300110
52101311210444
6125341131300
716250526030
oct4015156024
91348655400
10540335124
1125800685a
12130b59b30
1387c38334
1451a951c0
1532684469
hex2034dc14

540335124 has 240 divisors, whose sum is σ = 1705600512. Its totient is φ = 145939968.

The previous prime is 540335099. The next prime is 540335141. The reversal of 540335124 is 421533045.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 3943984 + ... + 3944120.

Almost surely, 2540335124 is an apocalyptic number.

540335124 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540335124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852800256).

540335124 is an abundant number, since it is smaller than the sum of its proper divisors (1165265388).

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

540335124 is a wasteful number, since it uses less digits than its factorization.

540335124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

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

The square root of 540335124 is about 23245.1096792422. The cubic root of 540335124 is about 814.4937068997.

Adding to 540335124 its reverse (421533045), we get a palindrome (961868169).

The spelling of 540335124 in words is "five hundred forty million, three hundred thirty-five thousand, one hundred twenty-four".