Search a number
-
+
542066000 = 24537311249
BaseRepresentation
bin100000010011110…
…100010101010000
31101202222210202112
4200103310111100
52102232103000
6125442204452
716301325230
oct4023642520
91352883675
10542066000
11258a89233
12131653728
13883c3118
1451dc5cc0
15328c7235
hex204f4550

542066000 has 160 divisors (see below), whose sum is σ = 1547520000. Its totient is φ = 179712000.

The previous prime is 542065987. The next prime is 542066003. The reversal of 542066000 is 660245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542066003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 433376 + ... + 434624.

It is an arithmetic number, because the mean of its divisors is an integer number (9672000).

Almost surely, 2542066000 is an apocalyptic number.

542066000 is a gapful number since it is divisible by the number (50) 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 542066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773760000).

542066000 is an abundant number, since it is smaller than the sum of its proper divisors (1005454000).

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

542066000 is a wasteful number, since it uses less digits than its factorization.

542066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 542066000 is about 23282.3108818691. The cubic root of 542066000 is about 815.3624794312.

It can be divided in two parts, 54206 and 6000, that added together give a palindrome (60206).

The spelling of 542066000 in words is "five hundred forty-two million, sixty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 125 140 155 175 200 217 248 250 280 310 350 400 434 496 500 560 620 700 775 868 875 1000 1085 1240 1249 1400 1550 1736 1750 2000 2170 2480 2498 2800 3100 3472 3500 3875 4340 4996 5425 6200 6245 7000 7750 8680 8743 9992 10850 12400 12490 14000 15500 17360 17486 19984 21700 24980 27125 31000 31225 34972 38719 43400 43715 49960 54250 62000 62450 69944 77438 86800 87430 99920 108500 124900 139888 154876 156125 174860 193595 217000 218575 249800 271033 309752 312250 349720 387190 434000 437150 499600 542066 619504 624500 699440 774380 874300 967975 1084132 1092875 1249000 1355165 1548760 1748600 1935950 2168264 2185750 2498000 2710330 3097520 3497200 3871900 4336528 4371500 4839875 5420660 6775825 7743800 8743000 9679750 10841320 13551650 15487600 17486000 19359500 21682640 27103300 33879125 38719000 54206600 67758250 77438000 108413200 135516500 271033000 542066000