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143310400 = 2652432083
BaseRepresentation
bin10001000101010…
…11111001000000
3100222122220220121
420202223321000
5243141413100
622115350024
73360055402
oct1042537100
9328586817
10143310400
1173993252
123bbb2314
13238c906c
1415066b72
15c8ac51a
hex88abe40

143310400 has 84 divisors (see below), whose sum is σ = 361007152. Its totient is φ = 55964160.

The previous prime is 143310397. The next prime is 143310437. The reversal of 143310400 is 4013341.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 67759 + ... + 69841.

Almost surely, 2143310400 is an apocalyptic number.

143310400 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 143310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180503576).

143310400 is an abundant number, since it is smaller than the sum of its proper divisors (217696752).

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

143310400 is a wasteful number, since it uses less digits than its factorization.

143310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 143310400 is about 11971.2321838648. The cubic root of 143310400 is about 523.3102437061.

Adding to 143310400 its reverse (4013341), we get a palindrome (147323741).

The spelling of 143310400 in words is "one hundred forty-three million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 160 172 200 215 320 344 400 430 688 800 860 1075 1376 1600 1720 2083 2150 2752 3440 4166 4300 6880 8332 8600 10415 13760 16664 17200 20830 33328 34400 41660 52075 66656 68800 83320 89569 104150 133312 166640 179138 208300 333280 358276 416600 447845 666560 716552 833200 895690 1433104 1666400 1791380 2239225 2866208 3332800 3582760 4478450 5732416 7165520 8956900 14331040 17913800 28662080 35827600 71655200 143310400