Search a number
-
+
165065256 = 23331914001
BaseRepresentation
bin10011101011010…
…11001000101000
3102111121011222000
421311223020220
5314224042011
624213531000
74043013546
oct1165531050
9374534860
10165065256
11851a1a74
1247343a60
1328275165
1417ccad96
15e758356
hex9d6b228

165065256 has 64 divisors (see below), whose sum is σ = 461030400. Its totient is φ = 54720000.

The previous prime is 165065249. The next prime is 165065281. The reversal of 165065256 is 652560561.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 165065256.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39256 + ... + 43256.

It is an arithmetic number, because the mean of its divisors is an integer number (7203600).

Almost surely, 2165065256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165065256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230515200).

165065256 is an abundant number, since it is smaller than the sum of its proper divisors (295965144).

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

165065256 is a wasteful number, since it uses less digits than its factorization.

165065256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 165065256 is about 12847.7724139245. The cubic root of 165065256 is about 548.5529520842.

The spelling of 165065256 in words is "one hundred sixty-five million, sixty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 191 216 382 573 764 1146 1528 1719 2292 3438 4001 4584 5157 6876 8002 10314 12003 13752 16004 20628 24006 32008 36009 41256 48012 72018 96024 108027 144036 216054 288072 432108 764191 864216 1528382 2292573 3056764 4585146 6113528 6877719 9170292 13755438 18340584 20633157 27510876 41266314 55021752 82532628 165065256