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166010112 = 283272053
BaseRepresentation
bin10011110010100…
…01110100000000
3102120101012001200
421321101310000
5314444310422
624250101200
74054030332
oct1171216400
9376335050
10166010112
1185787944
124771a800
1328516248
1418095452
15e8932ac
hex9e51d00

166010112 has 54 divisors (see below), whose sum is σ = 478654722. Its totient is φ = 55335936.

The previous prime is 166010111. The next prime is 166010171. The reversal of 166010112 is 211010661.

166010112 is a `hidden beast` number, since 1 + 660 + 1 + 0 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108493056 + 57517056 = 10416^2 + 7584^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166010111) 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 5 ways as a sum of consecutive naturals, for example, 33723 + ... + 38330.

Almost surely, 2166010112 is an apocalyptic number.

166010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166010112 is an abundant number, since it is smaller than the sum of its proper divisors (312644610).

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

166010112 is an equidigital number, since it uses as much as digits as its factorization.

166010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72075 (or 72058 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 166010112 is about 12884.4911424549. The cubic root of 166010112 is about 549.5976252575.

Adding to 166010112 its reverse (211010661), we get a palindrome (377020773).

The spelling of 166010112 in words is "one hundred sixty-six million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 72053 144106 216159 288212 432318 576424 648477 864636 1152848 1296954 1729272 2305696 2593908 3458544 4611392 5187816 6917088 9222784 10375632 13834176 18445568 20751264 27668352 41502528 55336704 83005056 166010112