Search a number
-
+
143442400 = 2552199437
BaseRepresentation
bin10001000110011…
…00000111100000
3100222220121222111
420203030013200
5243210124100
622122245104
73361145263
oct1043140740
9328817874
10143442400
1173a73442
1240056794
132394417a
141509ccda
15c8d66ba
hex88cc1e0

143442400 has 72 divisors (see below), whose sum is σ = 368648280. Its totient is φ = 54351360.

The previous prime is 143442391. The next prime is 143442401. The reversal of 143442400 is 4244341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143442401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10482 + ... + 19918.

It is an arithmetic number, because the mean of its divisors is an integer number (5120115).

Almost surely, 2143442400 is an apocalyptic number.

143442400 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 143442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184324140).

143442400 is an abundant number, since it is smaller than the sum of its proper divisors (225205880).

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

143442400 is a wasteful number, since it uses less digits than its factorization.

143442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9476 (or 9463 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 143442400 is about 11976.7441318582. The cubic root of 143442400 is about 523.4708641835.

Adding to 143442400 its reverse (4244341), we get a palindrome (147686741).

It can be divided in two parts, 1434 and 42400, that added together give a palindrome (43834).

The spelling of 143442400 in words is "one hundred forty-three million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 3040 3800 7600 9437 15200 18874 37748 47185 75496 94370 150992 179303 188740 235925 301984 358606 377480 471850 717212 754960 896515 943700 1434424 1509920 1793030 1887400 2868848 3586060 3774800 4482575 5737696 7172120 7549600 8965150 14344240 17930300 28688480 35860600 71721200 143442400