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542063310 = 235233492251
BaseRepresentation
bin100000010011110…
…011101011001110
31101202222200001220
4200103303223032
52102232011220
6125442144210
716301314335
oct4023635316
91352880056
10542063310
11258a87208
12131652066
13883c1b29
1451dc4d1c
15328c6540
hex204f3ace

542063310 has 64 divisors (see below), whose sum is σ = 1362009600. Its totient is φ = 137808000.

The previous prime is 542063281. The next prime is 542063317. The reversal of 542063310 is 13360245.

It is a happy number.

542063310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5420633102 = 587665264096312200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542063317) 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, 239685 + ... + 241935.

It is an arithmetic number, because the mean of its divisors is an integer number (21281400).

Almost surely, 2542063310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542063310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681004800).

542063310 is an abundant number, since it is smaller than the sum of its proper divisors (819946290).

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

542063310 is a wasteful number, since it uses less digits than its factorization.

542063310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 542063310 is about 23282.2531126178. The cubic root of 542063310 is about 815.3611306848.

The spelling of 542063310 in words is "five hundred forty-two million, sixty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 349 690 698 1047 1745 2094 2251 3490 4502 5235 6753 8027 10470 11255 13506 16054 22510 24081 33765 40135 48162 51773 67530 80270 103546 120405 155319 240810 258865 310638 517730 776595 785599 1553190 1571198 2356797 3927995 4713594 7855990 11783985 18068777 23567970 36137554 54206331 90343885 108412662 180687770 271031655 542063310