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541120645 = 51317348121
BaseRepresentation
bin100000010000001…
…101100010000101
31101201012202222101
4200100031202011
52102011330040
6125410032101
716260310132
oct4020154205
91351182871
10541120645
112584a2a4a
12131278631
1388151a40
1451c1b589
153278c09a
hex2040d885

541120645 has 16 divisors (see below), whose sum is σ = 703351152. Its totient is φ = 397278720.

The previous prime is 541120639. The next prime is 541120649. The reversal of 541120645 is 546021145.

It is a Cunningham number, because it is equal to 232622+1.

It can be written as a sum of positive squares in 8 ways, for example, as 4318084 + 536802561 = 2078^2 + 23169^2 .

It is not a de Polignac number, because 541120645 - 223 = 532732037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541120649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12816 + ... + 35305.

It is an arithmetic number, because the mean of its divisors is an integer number (43959447).

Almost surely, 2541120645 is an apocalyptic number.

It is an amenable number.

541120645 is a deficient number, since it is larger than the sum of its proper divisors (162230507).

541120645 is a wasteful number, since it uses less digits than its factorization.

541120645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48312.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 541120645 is about 23262.0000214943. Note that the first 4 decimals coincide. The cubic root of 541120645 is about 814.8882102934. Note that the first 3 decimals are identical.

The spelling of 541120645 in words is "five hundred forty-one million, one hundred twenty thousand, six hundred forty-five".

Divisors: 1 5 13 65 173 865 2249 11245 48121 240605 625573 3127865 8324933 41624665 108224129 541120645