Search a number
-
+
164100132 = 22327651191
BaseRepresentation
bin10011100011111…
…11100000100100
3102102210011001200
421301333200210
5314002201012
624141122500
74031554020
oct1161774044
9372704050
10164100132
11846a2949
1246b59430
1327cc7a91
1417b19380
15e6173dc
hex9c7f824

164100132 has 36 divisors (see below), whose sum is σ = 474067776. Its totient is φ = 46885680.

The previous prime is 164100127. The next prime is 164100161. The reversal of 164100132 is 231001461.

It is a happy number.

164100132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325344 + ... + 325847.

Almost surely, 2164100132 is an apocalyptic number.

164100132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164100132 is an abundant number, since it is smaller than the sum of its proper divisors (309967644).

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

164100132 is a wasteful number, since it uses less digits than its factorization.

164100132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651208 (or 651203 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 164100132 is about 12810.1573760825. The cubic root of 164100132 is about 547.4817458104.

Adding to 164100132 its reverse (231001461), we get a palindrome (395101593).

The spelling of 164100132 in words is "one hundred sixty-four million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 651191 1302382 1953573 2604764 3907146 4558337 5860719 7814292 9116674 11721438 13675011 18233348 23442876 27350022 41025033 54700044 82050066 164100132