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545715940 = 2257211233171
BaseRepresentation
bin100000100001101…
…111011011100100
31102000212020112111
4200201233123210
52104200402230
6130052330404
716344336400
oct4041573344
91360766474
10545715940
11260051510
12132913a04
13890a0553
1452696100
1532d9892a
hex2086f6e4

545715940 has 288 divisors, whose sum is σ = 1588543488. Its totient is φ = 155232000.

The previous prime is 545715913. The next prime is 545715949. The reversal of 545715940 is 49517545.

It is a junction number, because it is equal to n+sod(n) for n = 545715893 and 545715902.

It is not an unprimeable number, because it can be changed into a prime (545715949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7686105 + ... + 7686175.

It is an arithmetic number, because the mean of its divisors is an integer number (5515776).

Almost surely, 2545715940 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 545715940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794271744).

545715940 is an abundant number, since it is smaller than the sum of its proper divisors (1042827548).

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

545715940 is a wasteful number, since it uses less digits than its factorization.

545715940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The square root of 545715940 is about 23360.5637774434. The cubic root of 545715940 is about 817.1884375430.

The spelling of 545715940 in words is "five hundred forty-five million, seven hundred fifteen thousand, nine hundred forty".