Search a number
-
+
5639973120 = 283254111941
BaseRepresentation
bin1010100000010101…
…10010100100000000
3112120001121022122100
411100022302210000
543022313114440
62331352110400
7256522660215
oct52012624400
915501538570
105639973120
112434688311
121114995400
136bb611a02
143b7091b0c
1523021d230
hex1502b2900

5639973120 has 216 divisors, whose sum is σ = 19991337912. Its totient is φ = 1467187200.

The previous prime is 5639973113. The next prime is 5639973179. The reversal of 5639973120 is 213799365.

5639973120 is a `hidden beast` number, since 5 + 639 + 9 + 7 + 3 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40144896 + 5599828224 = 6336^2 + 74832^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 466350 + ... + 478290.

Almost surely, 25639973120 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 5639973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9995668956).

5639973120 is an abundant number, since it is smaller than the sum of its proper divisors (14351364792).

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

5639973120 is a wasteful number, since it uses less digits than its factorization.

5639973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12009 (or 11992 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 5639973120 is about 75099.7544603176. The cubic root of 5639973120 is about 1780.0232627520.

The spelling of 5639973120 in words is "five billion, six hundred thirty-nine million, nine hundred seventy-three thousand, one hundred twenty".