Search a number
-
+
120696513840 = 2432573488729
BaseRepresentation
bin111000001101000010…
…0101010010100110000
3102112112112210011212100
41300122010222110300
53434141301420330
6131240333100400
711501654304000
oct1603204522460
9375475704770
10120696513840
11472070432a1
121b485027700
13b4c65a5a36
145bada54000
1532161da060
hex1c1a12a530

120696513840 has 240 divisors, whose sum is σ = 472699656000. Its totient is φ = 27587718144.

The previous prime is 120696513797. The next prime is 120696513841. The reversal of 120696513840 is 48315696021.

120696513840 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 96 + 513 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (120696513841) 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, 2596 + ... + 491324.

It is an arithmetic number, because the mean of its divisors is an integer number (1969581900).

Almost surely, 2120696513840 is an apocalyptic number.

120696513840 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 120696513840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236349828000).

120696513840 is an abundant number, since it is smaller than the sum of its proper divisors (352003142160).

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

120696513840 is a wasteful number, since it uses less digits than its factorization.

120696513840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488769 (or 488746 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 120696513840 in words is "one hundred twenty billion, six hundred ninety-six million, five hundred thirteen thousand, eight hundred forty".