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540726912 = 27321171601
BaseRepresentation
bin100000001110101…
…101011010000000
31101200110202212200
4200032231122000
52101411230122
6125353353200
716254050205
oct4016553200
91350422780
10540726912
11258254150
12131108800
138804476b
1451b57cac
15327105ac
hex203ad680

540726912 has 192 divisors, whose sum is σ = 1724224320. Its totient is φ = 161280000.

The previous prime is 540726911. The next prime is 540726913. The reversal of 540726912 is 219627045.

540726912 is a `hidden beast` number, since 540 + 7 + 26 + 91 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (540726911) and next prime (540726913).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×5407269122 = 584771186722111488, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (540726911) 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 23 ways as a sum of consecutive naturals, for example, 899412 + ... + 900012.

It is an arithmetic number, because the mean of its divisors is an integer number (8980335).

Almost surely, 2540726912 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 540726912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862112160).

540726912 is an abundant number, since it is smaller than the sum of its proper divisors (1183497408).

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

540726912 is a wasteful number, since it uses less digits than its factorization.

540726912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 540726912 is about 23253.5354731275. The cubic root of 540726912 is about 814.6905179468.

The spelling of 540726912 in words is "five hundred forty million, seven hundred twenty-six thousand, nine hundred twelve".