Search a number
-
+
542322270 = 233571716879
BaseRepresentation
bin100000010100110…
…010111001011110
31101210110211022000
4200110302321132
52102313303040
6125451503130
716303443330
oct4024627136
91353424260
10542322270
11259143826
12131757aa6
1388482969
1452051450
1532928130
hex20532e5e

542322270 has 128 divisors (see below), whose sum is σ = 1750118400. Its totient is φ = 116660736.

The previous prime is 542322257. The next prime is 542322289. The reversal of 542322270 is 72223245.

542322270 is a `hidden beast` number, since 542 + 32 + 22 + 70 = 666.

It is a super-2 number, since 2×5423222702 = 588226889075905800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23691 + ... + 40569.

It is an arithmetic number, because the mean of its divisors is an integer number (13672800).

Almost surely, 2542322270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542322270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875059200).

542322270 is an abundant number, since it is smaller than the sum of its proper divisors (1207796130).

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

542322270 is a wasteful number, since it uses less digits than its factorization.

542322270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16919 (or 16913 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 542322270 is about 23287.8137660022. The cubic root of 542322270 is about 815.4909508859.

The spelling of 542322270 in words is "five hundred forty-two million, three hundred twenty-two thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 85 90 102 105 119 126 135 153 170 189 210 238 255 270 306 315 357 378 459 510 595 630 714 765 918 945 1071 1190 1530 1785 1890 2142 2295 3213 3570 4590 5355 6426 10710 16065 16879 32130 33758 50637 84395 101274 118153 151911 168790 236306 253185 286943 303822 354459 455733 506370 573886 590765 708918 759555 860829 911466 1063377 1181530 1434715 1519110 1721658 1772295 2008601 2126754 2278665 2582487 2869430 3190131 3544590 4017202 4304145 4557330 5164974 5316885 6025803 6380262 7747461 8608290 10043005 10633770 12051606 12912435 15494922 15950655 18077409 20086010 25824870 30129015 31901310 36154818 38737305 54232227 60258030 77474610 90387045 108464454 180774090 271161135 542322270