Search a number
-
+
164999856 = 2437231273
BaseRepresentation
bin10011101010110…
…11001010110000
3102111110212020210
421311123022300
5314214443411
624212304120
74042322100
oct1165331260
9374425223
10164999856
118515791a
1247312040
1328251468
1417cb1200
15e743ca6
hex9d5b2b0

164999856 has 180 divisors, whose sum is σ = 519370776. Its totient is φ = 44997120.

The previous prime is 164999851. The next prime is 164999869. The reversal of 164999856 is 658999461.

164999856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (4199040) is a multiple of the sum of its prime factors (160).

It is a junction number, because it is equal to n+sod(n) for n = 164999796 and 164999805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164999851) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2260236 + ... + 2260308.

Almost surely, 2164999856 is an apocalyptic number.

164999856 is a gapful number since it is divisible by the number (16) 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 164999856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259685388).

164999856 is an abundant number, since it is smaller than the sum of its proper divisors (354370920).

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

164999856 is a wasteful number, since it uses less digits than its factorization.

164999856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 116 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 57.

The square root of 164999856 is about 12845.2269734715. The cubic root of 164999856 is about 548.4804956852.

The spelling of 164999856 in words is "one hundred sixty-four million, nine hundred ninety-nine thousand, eight hundred fifty-six".