Search a number
-
+
165032032 = 2511468841
BaseRepresentation
bin10011101011000…
…11000001100000
3102111112111101111
421311203001200
5314222011112
624213113104
74042514644
oct1165430140
9374474344
10165032032
118517a010
1247328794
1328262cb9
1417cbcc24
15e74d5a7
hex9d63060

165032032 has 24 divisors (see below), whose sum is σ = 354444552. Its totient is φ = 75014400.

The previous prime is 165031973. The next prime is 165032033. The reversal of 165032032 is 230230561.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 165031994 and 165032012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165032033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 234069 + ... + 234772.

It is an arithmetic number, because the mean of its divisors is an integer number (14768523).

Almost surely, 2165032032 is an apocalyptic number.

It is an amenable number.

165032032 is an abundant number, since it is smaller than the sum of its proper divisors (189412520).

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

165032032 is a wasteful number, since it uses less digits than its factorization.

165032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468862 (or 468854 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 165032032 is about 12846.4793620665. The cubic root of 165032032 is about 548.5161457394.

Adding to 165032032 its reverse (230230561), we get a palindrome (395262593).

The spelling of 165032032 in words is "one hundred sixty-five million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 468841 937682 1875364 3750728 5157251 7501456 10314502 15002912 20629004 41258008 82516016 165032032