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143040400 = 2452541661
BaseRepresentation
bin10001000011010…
…01111110010000
3100222011012112121
420201221332100
5243104243100
622105504024
73354552256
oct1041517620
9328135477
10143040400
1173819408
123baa2014
13238331b9
1414dd65d6
15c85751a
hex8869f90

143040400 has 60 divisors (see below), whose sum is σ = 344810644. Its totient is φ = 57024000.

The previous prime is 143040389. The next prime is 143040413. The reversal of 143040400 is 4040341.

It can be written as a sum of positive squares in 6 ways, for example, as 190096 + 142850304 = 436^2 + 11952^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216070 + ... + 216730.

Almost surely, 2143040400 is an apocalyptic number.

143040400 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 143040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172405322).

143040400 is an abundant number, since it is smaller than the sum of its proper divisors (201770244).

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

143040400 is a wasteful number, since it uses less digits than its factorization.

143040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 143040400 is about 11959.9498326707. The cubic root of 143040400 is about 522.9813943639.

Adding to 143040400 its reverse (4040341), we get a palindrome (147080741).

The spelling of 143040400 in words is "one hundred forty-three million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 541 661 1082 1322 2164 2644 2705 3305 4328 5288 5410 6610 8656 10576 10820 13220 13525 16525 21640 26440 27050 33050 43280 52880 54100 66100 108200 132200 216400 264400 357601 715202 1430404 1788005 2860808 3576010 5721616 7152020 8940025 14304040 17880050 28608080 35760100 71520200 143040400