Search a number
-
+
2024893080 = 2334571937127
BaseRepresentation
bin111100010110001…
…0110101010011000
312020010012020010000
41320230112222120
513121333034310
6532532253000
7101115210240
oct17054265230
95203166100
102024893080
11949aaa161
12486171160
132636819b2
14152cd8b20
15bcb7d4c0
hex78b16a98

2024893080 has 640 divisors, whose sum is σ = 8475033600. Its totient is φ = 423263232.

The previous prime is 2024893051. The next prime is 2024893081. The reversal of 2024893080 is 803984202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024893081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15943977 + ... + 15944103.

It is an arithmetic number, because the mean of its divisors is an integer number (13242240).

Almost surely, 22024893080 is an apocalyptic number.

2024893080 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 2024893080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237516800).

2024893080 is an abundant number, since it is smaller than the sum of its proper divisors (6450140520).

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

2024893080 is a wasteful number, since it uses less digits than its factorization.

2024893080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2024893080 is about 44998.8119843180. The cubic root of 2024893080 is about 1265.1267309384.

The spelling of 2024893080 in words is "two billion, twenty-four million, eight hundred ninety-three thousand, eighty".