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143404400 = 24521918869
BaseRepresentation
bin10001000110000…
…10110101110000
3100222211200212002
420203002311300
5243202420100
622121353132
73360626426
oct1043026560
9328750762
10143404400
1173a47937
12400387a8
132392ca99
141508d116
15c8ca2d5
hex88c2d70

143404400 has 60 divisors (see below), whose sum is σ = 362681400. Its totient is φ = 54339840.

The previous prime is 143404369. The next prime is 143404411. The reversal of 143404400 is 4404341.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 1835 + ... + 17034.

It is an arithmetic number, because the mean of its divisors is an integer number (6044690).

Almost surely, 2143404400 is an apocalyptic number.

143404400 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 143404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181340700).

143404400 is an abundant number, since it is smaller than the sum of its proper divisors (219277000).

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

143404400 is a wasteful number, since it uses less digits than its factorization.

143404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18906 (or 18895 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 143404400 is about 11975.1576190044. The cubic root of 143404400 is about 523.4246350592.

Adding to 143404400 its reverse (4404341), we get a palindrome (147808741).

The spelling of 143404400 in words is "one hundred forty-three million, four hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 18869 37738 75476 94345 150952 188690 301904 358511 377380 471725 717022 754760 943450 1434044 1509520 1792555 1886900 2868088 3585110 3773800 5736176 7170220 7547600 8962775 14340440 17925550 28680880 35851100 71702200 143404400