Search a number
-
+
1207048320 = 27325367571
BaseRepresentation
bin100011111110010…
…0001100010000000
310010010021102000100
41013330201202000
54433001021240
6315435122400
741624512212
oct10774414200
93103242010
101207048320
1156a3902a5
122982a3400
131630c169a
14b64465b2
1570e7de30
hex47f21880

1207048320 has 192 divisors, whose sum is σ = 4186765440. Its totient is φ = 320440320.

The previous prime is 1207048307. The next prime is 1207048361. The reversal of 1207048320 is 238407021.

1207048320 is digitally balanced in base 6, 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 (192).

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, 2113635 + ... + 2114205.

It is an arithmetic number, because the mean of its divisors is an integer number (21806070).

Almost surely, 21207048320 is an apocalyptic number.

1207048320 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 1207048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093382720).

1207048320 is an abundant number, since it is smaller than the sum of its proper divisors (2979717120).

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

1207048320 is a wasteful number, since it uses less digits than its factorization.

1207048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1207048320 is about 34742.6009389050. The cubic root of 1207048320 is about 1064.7350527861.

The spelling of 1207048320 in words is "one billion, two hundred seven million, forty-eight thousand, three hundred twenty".