Search a number
-
+
2159247860 = 22571117671231
BaseRepresentation
bin1000000010110011…
…1000000111110100
312120111000011012222
42000230320013310
513410231412420
6554132101512
7104336206160
oct20054700764
95514004188
102159247860
11a08925970
12503164898
13285463673
14166aadca0
15c986c225
hex80b381f4

2159247860 has 192 divisors, whose sum is σ = 6080126976. Its totient is φ = 623462400.

The previous prime is 2159247859. The next prime is 2159247869. The reversal of 2159247860 is 687429512.

It is a happy number.

It is a hoax number, since the sum of its digits (44) 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 (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159247869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1753445 + ... + 1754675.

It is an arithmetic number, because the mean of its divisors is an integer number (31667328).

Almost surely, 22159247860 is an apocalyptic number.

2159247860 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 2159247860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040063488).

2159247860 is an abundant number, since it is smaller than the sum of its proper divisors (3920879116).

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

2159247860 is a wasteful number, since it uses less digits than its factorization.

2159247860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 2159247860 is about 46467.7077119154. The cubic root of 2159247860 is about 1292.5107561830.

The spelling of 2159247860 in words is "two billion, one hundred fifty-nine million, two hundred forty-seven thousand, eight hundred sixty".