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541004145 = 351125113063
BaseRepresentation
bin100000001111110…
…001000101110001
31101200222212011120
4200033301011301
52101444113040
6125403332453
716256313363
oct4017610561
91350885146
10541004145
11258423470
12131221129
13881109c6
1451bcad33
15327677d0
hex203f1171

541004145 has 32 divisors (see below), whose sum is σ = 948132864. Its totient is φ = 261240000.

The previous prime is 541004129. The next prime is 541004147. The reversal of 541004145 is 541400145.

It is a happy number.

It is not a de Polignac number, because 541004145 - 24 = 541004129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (541004147) 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 31 ways as a sum of consecutive naturals, for example, 34884 + ... + 47946.

It is an arithmetic number, because the mean of its divisors is an integer number (29629152).

Almost surely, 2541004145 is an apocalyptic number.

541004145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541004145 is a deficient number, since it is larger than the sum of its proper divisors (407128719).

541004145 is a wasteful number, since it uses less digits than its factorization.

541004145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13333.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 541004145 is about 23259.4958027899. The cubic root of 541004145 is about 814.8297259294.

The spelling of 541004145 in words is "five hundred forty-one million, four thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 251 753 1255 2761 3765 8283 13063 13805 39189 41415 65315 143693 195945 431079 718465 2155395 3278813 9836439 16394065 36066943 49182195 108200829 180334715 541004145