[go: up one dir, main page]

Search a number
-
+
19028880 = 243251319107
BaseRepresentation
bin100100010010…
…1101110010000
31022210202201100
41020211232100
514332411010
61515504400
7320512533
oct110455620
938722640
1019028880
11a817752
126458100
133c333c0
142754a1a
151a0d2c0
hex1225b90

19028880 has 240 divisors, whose sum is σ = 73120320. Its totient is φ = 4396032.

The previous prime is 19028827. The next prime is 19028881. The reversal of 19028880 is 8882091.

It is a tau number, because it is divible by the number of its divisors (240).

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 (19028881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177787 + ... + 177893.

It is an arithmetic number, because the mean of its divisors is an integer number (304668).

Almost surely, 219028880 is an apocalyptic number.

19028880 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 19028880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

19028880 is an abundant number, since it is smaller than the sum of its proper divisors (54091440).

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

19028880 is a wasteful number, since it uses less digits than its factorization.

19028880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 19028880 is about 4362.2104488436. The cubic root of 19028880 is about 266.9752954460.

The spelling of 19028880 in words is "nineteen million, twenty-eight thousand, eight hundred eighty".