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545287680 = 293357323
BaseRepresentation
bin100000100000000…
…110111000000000
31102000001111002000
4200200012320000
52104043201210
6130035224000
716340604000
oct4040067000
91360044060
10545287680
1125a889783
12132748000
1388c80642
14525c4000
1532d11ac0
hex20806e00

545287680 has 640 divisors, whose sum is σ = 2356992000. Its totient is φ = 119218176.

The previous prime is 545287643. The next prime is 545287681. The reversal of 545287680 is 86782545.

545287680 is a `hidden beast` number, since 54 + 528 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545287681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23708149 + ... + 23708171.

It is an arithmetic number, because the mean of its divisors is an integer number (3682800).

Almost surely, 2545287680 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 545287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178496000).

545287680 is an abundant number, since it is smaller than the sum of its proper divisors (1811704320).

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

545287680 is an equidigital number, since it uses as much as digits as its factorization.

545287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 545287680 is about 23351.3956756336. The cubic root of 545287680 is about 816.9746140238.

The spelling of 545287680 in words is "five hundred forty-five million, two hundred eighty-seven thousand, six hundred eighty".