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1143426000 = 243531491279
BaseRepresentation
bin100010000100111…
…0100101111010000
32221200120001121010
41010021310233100
54320204113000
6305243330520
740222650333
oct10411645720
92850501533
101143426000
11537485972
1227ab20a40
13152b76a42
14abc0461a
156a5b2d50
hex44274bd0

1143426000 has 160 divisors (see below), whose sum is σ = 3714048000. Its totient is φ = 302630400.

The previous prime is 1143425993. The next prime is 1143426017. The reversal of 1143426000 is 6243411.

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, 893361 + ... + 894639.

It is an arithmetic number, because the mean of its divisors is an integer number (23212800).

Almost surely, 21143426000 is an apocalyptic number.

1143426000 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 1143426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857024000).

1143426000 is an abundant number, since it is smaller than the sum of its proper divisors (2570622000).

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

1143426000 is a wasteful number, since it uses less digits than its factorization.

1143426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1438 counting only the distinct ones).

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

The square root of 1143426000 is about 33814.5826530507. The cubic root of 1143426000 is about 1045.6893568920.

Adding to 1143426000 its reverse (6243411), we get a palindrome (1149669411).

The spelling of 1143426000 in words is "one billion, one hundred forty-three million, four hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 149 150 200 240 250 298 300 375 400 447 500 596 600 745 750 894 1000 1192 1200 1279 1490 1500 1788 2000 2235 2384 2558 2980 3000 3576 3725 3837 4470 5116 5960 6000 6395 7152 7450 7674 8940 10232 11175 11920 12790 14900 15348 17880 18625 19185 20464 22350 25580 29800 30696 31975 35760 37250 38370 44700 51160 55875 59600 61392 63950 74500 76740 89400 95925 102320 111750 127900 149000 153480 159875 178800 190571 191850 223500 255800 298000 306960 319750 381142 383700 447000 479625 511600 571713 639500 762284 767400 894000 952855 959250 1143426 1279000 1524568 1534800 1905710 1918500 2286852 2558000 2858565 3049136 3811420 3837000 4573704 4764275 5717130 7622840 7674000 9147408 9528550 11434260 14292825 15245680 19057100 22868520 23821375 28585650 38114200 45737040 47642750 57171300 71464125 76228400 95285500 114342600 142928250 190571000 228685200 285856500 381142000 571713000 1143426000