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164118032 = 2413789029
BaseRepresentation
bin10011100100000…
…11111000010000
3102102211001121122
421302003320100
5314003234112
624141341412
74031660141
oct1162037020
9372731548
10164118032
1184705341
1246b67868
1328002c80
1417b21ac8
15e61c872
hex9c83e10

164118032 has 20 divisors (see below), whose sum is σ = 342439020. Its totient is φ = 75746688.

The previous prime is 164118013. The next prime is 164118043. The reversal of 164118032 is 230811461.

It can be written as a sum of positive squares in 2 ways, for example, as 76807696 + 87310336 = 8764^2 + 9344^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 164117992 and 164118010.

It is an unprimeable number.

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, 394307 + ... + 394722.

It is an arithmetic number, because the mean of its divisors is an integer number (17121951).

Almost surely, 2164118032 is an apocalyptic number.

It is an amenable number.

164118032 is an abundant number, since it is smaller than the sum of its proper divisors (178320988).

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

164118032 is a wasteful number, since it uses less digits than its factorization.

164118032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789050 (or 789044 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 164118032 is about 12810.8560213594. The cubic root of 164118032 is about 547.5016514757.

Adding to 164118032 its reverse (230811461), we get a palindrome (394929493).

The spelling of 164118032 in words is "one hundred sixty-four million, one hundred eighteen thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 789029 1578058 3156116 6312232 10257377 12624464 20514754 41029508 82059016 164118032