Search a number
-
+
4207230720 = 283457111731
BaseRepresentation
bin1111101011000101…
…0011111100000000
3101212012122110120000
43322301103330000
532104022340340
61533251320000
7206154604530
oct37261237400
911765573500
104207230720
111869965790
12994bb0000
1352083ac44
142bca994c0
1519955bd30
hexfac53f00

4207230720 has 1440 divisors, whose sum is σ = 20514041856. Its totient is φ = 796262400.

The previous prime is 4207230701. The next prime is 4207230757. The reversal of 4207230720 is 270327024.

4207230720 is a `hidden beast` number, since 420 + 7 + 230 + 7 + 2 + 0 = 666.

4207230720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 135717105 + ... + 135717135.

Almost surely, 24207230720 is an apocalyptic number.

4207230720 is a gapful number since it is divisible by the number (40) 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 4207230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10257020928).

4207230720 is an abundant number, since it is smaller than the sum of its proper divisors (16306811136).

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

4207230720 is a wasteful number, since it uses less digits than its factorization.

4207230720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 4207230720 is about 64863.1692102691. The cubic root of 4207230720 is about 1614.3540081121.

Adding to 4207230720 its reverse (270327024), we get a palindrome (4477557744).

The spelling of 4207230720 in words is "four billion, two hundred seven million, two hundred thirty thousand, seven hundred twenty".