Search a number
-
+
5214133120 = 27572237229
BaseRepresentation
bin1001101101100100…
…10101101110000000
3111110101022101222111
410312302111232000
541134304224440
62221220545104
7243132254200
oct46662255600
914411271874
105214133120
112236273429
121016252194
13651323a91
143766c2400
15207b534ea
hex136c95b80

5214133120 has 192 divisors, whose sum is σ = 15132679200. Its totient is φ = 1709740032.

The previous prime is 5214133117. The next prime is 5214133147. The reversal of 5214133120 is 213314125.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5214133091 and 5214133100.

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, 717666 + ... + 724894.

Almost surely, 25214133120 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 5214133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566339600).

5214133120 is an abundant number, since it is smaller than the sum of its proper divisors (9918546080).

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

5214133120 is a wasteful number, since it uses less digits than its factorization.

5214133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7285 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5214133120 is about 72208.9545693607. The cubic root of 5214133120 is about 1734.0463627930.

Adding to 5214133120 its reverse (213314125), we get a palindrome (5427447245).

The spelling of 5214133120 in words is "five billion, two hundred fourteen million, one hundred thirty-three thousand, one hundred twenty".