Search a number
-
+
1200426120 = 23325231131283
BaseRepresentation
bin100011110001101…
…0000110010001000
310002122210222001200
41013203100302020
54424302113440
6315041144200
741514311415
oct10743206210
93078728050
101200426120
11566677a03
1229602b060
1316191341a
14b560110c
15705c1c30
hex478d0c88

1200426120 has 192 divisors, whose sum is σ = 4110238080. Its totient is φ = 303249408.

The previous prime is 1200426103. The next prime is 1200426127. The reversal of 1200426120 is 216240021.

1200426120 is a `hidden beast` number, since 12 + 0 + 0 + 42 + 612 + 0 = 666.

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 = 1200426093 and 1200426102.

It is not an unprimeable number, because it can be changed into a prime (1200426127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 934999 + ... + 936281.

It is an arithmetic number, because the mean of its divisors is an integer number (21407490).

Almost surely, 21200426120 is an apocalyptic number.

1200426120 is a gapful number since it is divisible by the number (10) 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 1200426120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055119040).

1200426120 is an abundant number, since it is smaller than the sum of its proper divisors (2909811960).

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

1200426120 is a wasteful number, since it uses less digits than its factorization.

1200426120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1200426120 is about 34647.1661178804. The cubic root of 1200426120 is about 1062.7843376496.

Adding to 1200426120 its reverse (216240021), we get a palindrome (1416666141).

The spelling of 1200426120 in words is "one billion, two hundred million, four hundred twenty-six thousand, one hundred twenty".