Search a number
-
+
4215021120 = 263252236563
BaseRepresentation
bin1111101100111100…
…0001111001000000
3101212202022020222100
43323033001321000
532113021133440
61534130310400
7206311042212
oct37317017100
911782266870
104215021120
1118732a6832
12997728400
13522337b4b
142bdb265b2
1519a09a230
hexfb3c1e40

4215021120 has 168 divisors, whose sum is σ = 14565148416. Its totient is φ = 1118794752.

The previous prime is 4215021119. The next prime is 4215021133. The reversal of 4215021120 is 211205124.

4215021120 is a `hidden beast` number, since 42 + 1 + 502 + 1 + 120 = 666.

4215021120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4215021093 and 4215021102.

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, 638959 + ... + 645521.

It is an arithmetic number, because the mean of its divisors is an integer number (86697312).

Almost surely, 24215021120 is an apocalyptic number.

4215021120 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 4215021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282574208).

4215021120 is an abundant number, since it is smaller than the sum of its proper divisors (10350127296).

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

4215021120 is a wasteful number, since it uses less digits than its factorization.

4215021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6809 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4215021120 is about 64923.1940064566. The cubic root of 4215021120 is about 1615.3498103228.

Adding to 4215021120 its reverse (211205124), we get a palindrome (4426226244).

The spelling of 4215021120 in words is "four billion, two hundred fifteen million, twenty-one thousand, one hundred twenty".