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541231040 = 26571761233
BaseRepresentation
bin100000010000101…
…000011111000000
31101201102101102002
4200100220133000
52102023343130
6125412243132
716261250030
oct4020503700
91351371362
10541231040
11258568989
121313104a8
138819006c
1451c498c0
15327aeb45
hex204287c0

541231040 has 224 divisors, whose sum is σ = 1591933824. Its totient is φ = 171048960.

The previous prime is 541231021. The next prime is 541231043. The reversal of 541231040 is 40132145.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541231043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2322764 + ... + 2322996.

Almost surely, 2541231040 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 541231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795966912).

541231040 is an abundant number, since it is smaller than the sum of its proper divisors (1050702784).

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

541231040 is a wasteful number, since it uses less digits than its factorization.

541231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 541231040 is about 23264.3727618004. The cubic root of 541231040 is about 814.9436221305.

Adding to 541231040 its reverse (40132145), we get a palindrome (581363185).

The spelling of 541231040 in words is "five hundred forty-one million, two hundred thirty-one thousand, forty".