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542810160 = 24345211397
BaseRepresentation
bin100000010110101…
…010000000110000
31101211101121120000
4200112222000300
52102424411120
6125510150000
716310544624
oct4026520060
91354347500
10542810160
11259447342
12131952300
13885c3a59
145213b184
15329c2990
hex205aa030

542810160 has 200 divisors, whose sum is σ = 1898966256. Its totient is φ = 143700480.

The previous prime is 542810141. The next prime is 542810167. The reversal of 542810160 is 61018245.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (542810167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1367082 + ... + 1367478.

Almost surely, 2542810160 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 542810160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949483128).

542810160 is an abundant number, since it is smaller than the sum of its proper divisors (1356156096).

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

542810160 is a wasteful number, since it uses less digits than its factorization.

542810160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 542810160 is about 23298.2866322826. The cubic root of 542810160 is about 815.7354246054.

The spelling of 542810160 in words is "five hundred forty-two million, eight hundred ten thousand, one hundred sixty".