Search a number
-
+
28217176260 = 2235741321961
BaseRepresentation
bin11010010001110111…
…111111000011000100
32200211111121001222020
4122101313333003010
5430242044120020
620543544003140
72016151020000
oct322167770304
980744531866
1028217176260
1110a6a951189
125575a604b0
132878c0a100
141519763700
15b02364c40
hex691dff0c4

28217176260 has 720 divisors, whose sum is σ = 106781290560. Its totient is φ = 5547709440.

The previous prime is 28217176231. The next prime is 28217176277. The reversal of 28217176260 is 6267171282.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 462576630 + ... + 462576690.

It is an arithmetic number, because the mean of its divisors is an integer number (148307348).

Almost surely, 228217176260 is an apocalyptic number.

28217176260 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 28217176260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53390645280).

28217176260 is an abundant number, since it is smaller than the sum of its proper divisors (78564114300).

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

28217176260 is a wasteful number, since it uses less digits than its factorization.

28217176260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 28217176260 in words is "twenty-eight billion, two hundred seventeen million, one hundred seventy-six thousand, two hundred sixty".