Search a number
-
+
5406430224 = 2431373118687
BaseRepresentation
bin1010000100011111…
…11001010000010000
3111221210011010000110
411002033321100100
542033021231344
62252250321320
7250655620146
oct50217712020
914853133013
105406430224
112324875058
12106a729240
13682111c50
1439405b596
1521998a3b9
hex1423f9410

5406430224 has 80 divisors (see below), whose sum is σ = 15247135232. Its totient is φ = 1640715264.

The previous prime is 5406430213. The next prime is 5406430229. The reversal of 5406430224 is 4220346045.

It is a junction number, because it is equal to n+sod(n) for n = 5406430191 and 5406430200.

It is not an unprimeable number, because it can be changed into a prime (5406430229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13792 + ... + 104895.

Almost surely, 25406430224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5406430224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623567616).

5406430224 is an abundant number, since it is smaller than the sum of its proper divisors (9840705008).

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

5406430224 is a wasteful number, since it uses less digits than its factorization.

5406430224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118784 (or 118778 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 5406430224 is about 73528.4313990173. The cubic root of 5406430224 is about 1755.1067403687.

Adding to 5406430224 its reverse (4220346045), we get a palindrome (9626776269).

The spelling of 5406430224 in words is "five billion, four hundred six million, four hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 146 156 208 219 292 312 438 584 624 876 949 1168 1752 1898 2847 3504 3796 5694 7592 11388 15184 22776 45552 118687 237374 356061 474748 712122 949496 1424244 1542931 1898992 2848488 3085862 4628793 5696976 6171724 8664151 9257586 12343448 17328302 18515172 24686896 25992453 34656604 37030344 51984906 69313208 74060688 103969812 112633963 138626416 207939624 225267926 337901889 415879248 450535852 675803778 901071704 1351607556 1802143408 2703215112 5406430224