Search a number
-
+
1240120420 = 22572111767101
BaseRepresentation
bin100100111101010…
…1011110001100100
310012102111122101221
41021322223301210
510014432323140
6323020030124
742505564300
oct11172536144
93172448357
101240120420
11587019910
122a7392344
13169c00a86
14ba9b4d00
1573d1314a
hex49eabc64

1240120420 has 288 divisors, whose sum is σ = 3586633344. Its totient is φ = 354816000.

The previous prime is 1240120391. The next prime is 1240120429. The reversal of 1240120420 is 240210421.

It is a super-2 number, since 2×12401204202 = 3075797312201952800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1240120394 and 1240120403.

It is not an unprimeable number, because it can be changed into a prime (1240120429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12278370 + ... + 12278470.

It is an arithmetic number, because the mean of its divisors is an integer number (12453588).

Almost surely, 21240120420 is an apocalyptic number.

1240120420 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 1240120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793316672).

1240120420 is an abundant number, since it is smaller than the sum of its proper divisors (2346512924).

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

1240120420 is a wasteful number, since it uses less digits than its factorization.

1240120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1240120420 is about 35215.3435309099. The cubic root of 1240120420 is about 1074.3718471939.

Adding to 1240120420 its reverse (240210421), we get a palindrome (1480330841).

Subtracting from 1240120420 its reverse (240210421), we obtain a palindrome (999909999).

The spelling of 1240120420 in words is "one billion, two hundred forty million, one hundred twenty thousand, four hundred twenty".