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545520960 = 26335103613
BaseRepresentation
bin100000100000111…
…111110101000000
31102000111100002000
4200200333311000
52104123132320
6130044224000
716342565055
oct4040776500
91360440060
10545520960
1125aa28a76
1213283b000
138903288a
145264502c
1532d5ac90
hex2083fd40

545520960 has 224 divisors, whose sum is σ = 1946330880. Its totient is φ = 143824896.

The previous prime is 545520917. The next prime is 545520967. The reversal of 545520960 is 69025545.

545520960 is a `hidden beast` number, since 5 + 45 + 520 + 96 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545520967) 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, 889614 + ... + 890226.

Almost surely, 2545520960 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 545520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973165440).

545520960 is an abundant number, since it is smaller than the sum of its proper divisors (1400809920).

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

545520960 is a wasteful number, since it uses less digits than its factorization.

545520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 545520960 is about 23356.3901320388. The cubic root of 545520960 is about 817.0911009557.

The spelling of 545520960 in words is "five hundred forty-five million, five hundred twenty thousand, nine hundred sixty".