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541044000 = 253253719113
BaseRepresentation
bin100000001111111…
…010110100100000
31101201001212211200
4200033322310200
52102001402000
6125404241200
716256540520
oct4017726440
91351055750
10541044000
11258450402
12131240200
1388125ba3
1451bdb680
1532774500
hex203fad20

541044000 has 576 divisors, whose sum is σ = 2330415360. Its totient is φ = 116121600.

The previous prime is 541043999. The next prime is 541044001. The reversal of 541044000 is 440145.

It is an interprime number because it is at equal distance from previous prime (541043999) and next prime (541044001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541044001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4787944 + ... + 4788056.

It is an arithmetic number, because the mean of its divisors is an integer number (4045860).

Almost surely, 2541044000 is an apocalyptic number.

541044000 is a gapful number since it is divisible by the number (50) 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 541044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165207680).

541044000 is an abundant number, since it is smaller than the sum of its proper divisors (1789371360).

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

541044000 is a wasteful number, since it uses less digits than its factorization.

541044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 541044000 is about 23260.3525338719. The cubic root of 541044000 is about 814.8497345508.

Adding to 541044000 its reverse (440145), we get a palindrome (541484145).

The spelling of 541044000 in words is "five hundred forty-one million, forty-four thousand".