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542184240 = 243513173777
BaseRepresentation
bin100000010100010…
…001001100110000
31101210012210221210
4200110101030300
52102244343430
6125444520120
716302330033
oct4024211460
91353183853
10542184240
1125905a054
121316b0040
1388434ba0
145201701a
15328ec2b0
hex20511330

542184240 has 80 divisors (see below), whose sum is σ = 1810071648. Its totient is φ = 133459968.

The previous prime is 542184229. The next prime is 542184259. The reversal of 542184240 is 42481245.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 542184198 and 542184207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83769 + ... + 90008.

Almost surely, 2542184240 is an apocalyptic number.

It is an amenable number.

542184240 is an abundant number, since it is smaller than the sum of its proper divisors (1267887408).

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

542184240 is a wasteful number, since it uses less digits than its factorization.

542184240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173806 (or 173800 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 542184240 is about 23284.8500102534. The cubic root of 542184240 is about 815.4217596976.

The spelling of 542184240 in words is "five hundred forty-two million, one hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 173777 347554 521331 695108 868885 1042662 1390216 1737770 2085324 2259101 2606655 2780432 3475540 4170648 4518202 5213310 6777303 6951080 8341296 9036404 10426620 11295505 13554606 13902160 18072808 20853240 22591010 27109212 33886515 36145616 41706480 45182020 54218424 67773030 90364040 108436848 135546060 180728080 271092120 542184240