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166404132 = 2234513593
BaseRepresentation
bin10011110101100…
…10000000100100
3102121010012120000
421322302000210
5320044413012
624302341300
74060261146
oct1172620044
9377105500
10166404132
1185a26984
124788a830
13286236ab
1418158c96
15e91eddc
hex9eb2024

166404132 has 30 divisors (see below), whose sum is σ = 435014118. Its totient is φ = 55467936.

The previous prime is 166404107. The next prime is 166404151. The reversal of 166404132 is 231404661.

166404132 is a `hidden beast` number, since 1 + 6 + 640 + 4 + 13 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104530176 + 61873956 = 10224^2 + 7866^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 166404096 and 166404105.

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 9 ways as a sum of consecutive naturals, for example, 256473 + ... + 257120.

Almost surely, 2166404132 is an apocalyptic number.

166404132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166404132 is an abundant number, since it is smaller than the sum of its proper divisors (268609986).

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

166404132 is a wasteful number, since it uses less digits than its factorization.

166404132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513609 (or 513598 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 166404132 is about 12899.7725561345. The cubic root of 166404132 is about 550.0320995040.

Adding to 166404132 its reverse (231404661), we get a palindrome (397808793).

The spelling of 166404132 in words is "one hundred sixty-six million, four hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 513593 1027186 1540779 2054372 3081558 4622337 6163116 9244674 13867011 18489348 27734022 41601033 55468044 83202066 166404132