Search a number
-
+
2125246080 = 27355973257
BaseRepresentation
bin111111010101100…
…1010111010000000
312111010000200112210
41332223022322000
513323030333310
6550515222120
7103444202466
oct17653127200
95433020483
102125246080
119a0711921
124b38a7940
1327b3ba079
1416237c836
15c68a2820
hex7eacae80

2125246080 has 256 divisors, whose sum is σ = 7010582400. Its totient is φ = 547356672.

The previous prime is 2125246051. The next prime is 2125246087. The reversal of 2125246080 is 806425212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2125246087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8269312 + ... + 8269568.

Almost surely, 22125246080 is an apocalyptic number.

2125246080 is a gapful number since it is divisible by the number (20) 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 2125246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505291200).

2125246080 is an abundant number, since it is smaller than the sum of its proper divisors (4885336320).

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

2125246080 is a wasteful number, since it uses less digits than its factorization.

2125246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2125246080 is about 46100.3913215495. The cubic root of 2125246080 is about 1285.6904201567.

The spelling of 2125246080 in words is "two billion, one hundred twenty-five million, two hundred forty-six thousand, eighty".