Search a number
-
+
142266000 = 24353131181
BaseRepresentation
bin10000111101011…
…00111010010000
3100220200212021010
420132230322100
5242410003000
622041130520
73345145452
oct1036547220
9326625233
10142266000
117333a608
123b789a40
1323621886
1414c742d2
15c752d50
hex87ace90

142266000 has 160 divisors (see below), whose sum is σ = 464720256. Its totient is φ = 37440000.

The previous prime is 142265993. The next prime is 142266001. The reversal of 142266000 is 662241.

It is a happy number.

It is a super-2 number, since 2×1422660002 = 40479229512000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142266001) by changing a digit.

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, 785910 + ... + 786090.

Almost surely, 2142266000 is an apocalyptic number.

142266000 is a gapful number since it is divisible by the number (10) 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 142266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232360128).

142266000 is an abundant number, since it is smaller than the sum of its proper divisors (322454256).

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

142266000 is a wasteful number, since it uses less digits than its factorization.

142266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 142266000 is about 11927.5311779094. The cubic root of 142266000 is about 522.0359042258.

The spelling of 142266000 in words is "one hundred forty-two million, two hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 131 150 181 200 240 250 262 300 362 375 393 400 500 524 543 600 655 724 750 786 905 1000 1048 1086 1200 1310 1448 1500 1572 1810 1965 2000 2096 2172 2620 2715 2896 3000 3144 3275 3620 3930 4344 4525 5240 5430 6000 6288 6550 7240 7860 8688 9050 9825 10480 10860 13100 13575 14480 15720 16375 18100 19650 21720 22625 23711 26200 27150 31440 32750 36200 39300 43440 45250 47422 49125 52400 54300 65500 67875 71133 72400 78600 90500 94844 98250 108600 118555 131000 135750 142266 157200 181000 189688 196500 217200 237110 262000 271500 284532 355665 362000 379376 393000 474220 543000 569064 592775 711330 786000 948440 1086000 1138128 1185550 1422660 1778325 1896880 2371100 2845320 2963875 3556650 4742200 5690640 5927750 7113300 8891625 9484400 11855500 14226600 17783250 23711000 28453200 35566500 47422000 71133000 142266000