Search a number
-
+
2129020848 = 243429371531
BaseRepresentation
bin111111011100110…
…0100011110110000
312111101010110120000
41332321210132300
513330012131343
6551132150000
7103521243603
oct17671443660
95441113500
102129020848
119a285a969
124b5008300
1327c10c266
14162a8233a
15c6d9aed3
hex7ee647b0

2129020848 has 200 divisors, whose sum is σ = 6551046480. Its totient is φ = 666247680.

The previous prime is 2129020847. The next prime is 2129020853. The reversal of 2129020848 is 8480209212.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2129020847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1389843 + ... + 1391373.

Almost surely, 22129020848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129020848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275523240).

2129020848 is an abundant number, since it is smaller than the sum of its proper divisors (4422025632).

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

2129020848 is a wasteful number, since it uses less digits than its factorization.

2129020848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2129020848 is about 46141.3138954668. The cubic root of 2129020848 is about 1286.4511654020.

The spelling of 2129020848 in words is "two billion, one hundred twenty-nine million, twenty thousand, eight hundred forty-eight".