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542330580 = 2235113672239
BaseRepresentation
bin100000010100110…
…100111011010100
31101210111020200210
4200110310323110
52102314034310
6125452005420
716303506501
oct4024647324
91353436623
10542330580
11259149aa0
12131760870
138848668c
14520544a8
153292a820
hex20534ed4

542330580 has 96 divisors (see below), whose sum is σ = 1661829120. Its totient is φ = 131057280.

The previous prime is 542330563. The next prime is 542330599. The reversal of 542330580 is 85033245.

It is a super-3 number, since 3×5423305803 (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241101 + ... + 243339.

It is an arithmetic number, because the mean of its divisors is an integer number (17310720).

Almost surely, 2542330580 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 542330580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830914560).

542330580 is an abundant number, since it is smaller than the sum of its proper divisors (1119498540).

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

542330580 is a wasteful number, since it uses less digits than its factorization.

542330580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 542330580 is about 23287.9921848149. The cubic root of 542330580 is about 815.4951161185.

The spelling of 542330580 in words is "five hundred forty-two million, three hundred thirty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 367 660 734 1101 1468 1835 2202 2239 3670 4037 4404 4478 5505 6717 7340 8074 8956 11010 11195 12111 13434 16148 20185 22020 22390 24222 24629 26868 33585 40370 44780 48444 49258 60555 67170 73887 80740 98516 121110 123145 134340 147774 242220 246290 295548 369435 492580 738870 821713 1477740 1643426 2465139 3286852 4108565 4930278 8217130 9038843 9860556 12325695 16434260 18077686 24651390 27116529 36155372 45194215 49302780 54233058 90388430 108466116 135582645 180776860 271165290 542330580