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5430404200 = 2352133975261
BaseRepresentation
bin1010000111010110…
…10110010001101000
3112000110021010010111
411003223112101220
542110140413300
62254504224104
7251366450134
oct50353262150
915013233114
105430404200
11233735a061
12107676b034
13687087130
143972dc3c4
1521bb239ba
hex143ad6468

5430404200 has 96 divisors (see below), whose sum is σ = 13633736760. Its totient is φ = 1999641600.

The previous prime is 5430404143. The next prime is 5430404201. The reversal of 5430404200 is 24040345.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 386279716 + 5044124484 = 19654^2 + 71022^2 .

It is not an unprimeable number, because it can be changed into a prime (5430404201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029570 + ... + 1034830.

Almost surely, 25430404200 is an apocalyptic number.

5430404200 is a gapful number since it is divisible by the number (50) 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 5430404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816868380).

5430404200 is an abundant number, since it is smaller than the sum of its proper divisors (8203332560).

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

5430404200 is a wasteful number, since it uses less digits than its factorization.

5430404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 5430404200 is about 73691.2762815247. The cubic root of 5430404200 is about 1757.6971646980.

Adding to 5430404200 its reverse (24040345), we get a palindrome (5454444545).

The spelling of 5430404200 in words is "five billion, four hundred thirty million, four hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 397 520 650 794 1300 1588 1985 2600 3176 3970 5161 5261 7940 9925 10322 10522 15880 19850 20644 21044 25805 26305 39700 41288 42088 51610 52610 68393 79400 103220 105220 129025 131525 136786 206440 210440 258050 263050 273572 341965 516100 526100 547144 683930 1032200 1052200 1367860 1709825 2088617 2735720 3419650 4177234 6839300 8354468 10443085 13678600 16708936 20886170 27152021 41772340 52215425 54304042 83544680 104430850 108608084 135760105 208861700 217216168 271520210 417723400 543040420 678800525 1086080840 1357601050 2715202100 5430404200