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142440200 = 23527711433
BaseRepresentation
bin10000111110101…
…11011100001000
3100221000201012222
420133113130020
5242431041300
622044553212
73346502360
oct1037273410
9327021188
10142440200
1173449481
123b852808
1323682c56
1414cbb9a0
15c789785
hex87d7708

142440200 has 96 divisors (see below), whose sum is σ = 384082560. Its totient is φ = 48115200.

The previous prime is 142440167. The next prime is 142440211. The reversal of 142440200 is 2044241.

142440200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98684 + ... + 100116.

It is an arithmetic number, because the mean of its divisors is an integer number (4000860).

Almost surely, 2142440200 is an apocalyptic number.

142440200 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 142440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192041280).

142440200 is an abundant number, since it is smaller than the sum of its proper divisors (241642360).

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

142440200 is a wasteful number, since it uses less digits than its factorization.

142440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 142440200 is about 11934.8313771079. The cubic root of 142440200 is about 522.2488892038.

Adding to 142440200 its reverse (2044241), we get a palindrome (144484441).

The spelling of 142440200 in words is "one hundred forty-two million, four hundred forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 71 100 140 142 175 200 280 284 350 355 497 568 700 710 994 1400 1420 1433 1775 1988 2485 2840 2866 3550 3976 4970 5732 7100 7165 9940 10031 11464 12425 14200 14330 19880 20062 24850 28660 35825 40124 49700 50155 57320 71650 80248 99400 100310 101743 143300 200620 203486 250775 286600 401240 406972 501550 508715 712201 813944 1003100 1017430 1424402 2006200 2034860 2543575 2848804 3561005 4069720 5087150 5697608 7122010 10174300 14244020 17805025 20348600 28488040 35610050 71220100 142440200