Search a number
-
+
543150144 = 2633523601
BaseRepresentation
bin100000010111111…
…101000001000000
31101212000212221000
4200113331001000
52103021301034
6125521332000
716313462055
oct4027750100
91355025830
10543150144
11259659819
12131a97000
13886b2724
14521c902c
1532a3d599
hex205fd040

543150144 has 112 divisors (see below), whose sum is σ = 1602475840. Its totient is φ = 180403200.

The previous prime is 543150133. The next prime is 543150151. The reversal of 543150144 is 441051345.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903444 + ... + 904044.

It is an arithmetic number, because the mean of its divisors is an integer number (14307820).

Almost surely, 2543150144 is an apocalyptic number.

543150144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 543150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801237920).

543150144 is an abundant number, since it is smaller than the sum of its proper divisors (1059325696).

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

543150144 is a wasteful number, since it uses less digits than its factorization.

543150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 543150144 is about 23305.5818206712. The cubic root of 543150144 is about 815.9056984450.

The spelling of 543150144 in words is "five hundred forty-three million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 523 576 601 864 1046 1202 1569 1728 1803 2092 2404 3138 3606 4184 4707 4808 5409 6276 7212 8368 9414 9616 10818 12552 14121 14424 16227 16736 18828 19232 21636 25104 28242 28848 32454 33472 37656 38464 43272 50208 56484 57696 64908 75312 86544 100416 112968 115392 129816 150624 173088 225936 259632 301248 314323 346176 451872 519264 628646 903744 942969 1038528 1257292 1885938 2514584 2828907 3771876 5029168 5657814 7543752 8486721 10058336 11315628 15087504 16973442 20116672 22631256 30175008 33946884 45262512 60350016 67893768 90525024 135787536 181050048 271575072 543150144