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166100 = 225211151
BaseRepresentation
bin101000100011010100
322102211212
4220203110
520303400
63320552
71261154
oct504324
9272755
10166100
11103880
1280158
135a7ac
1444764
1534335
hex288d4

166100 has 36 divisors (see below), whose sum is σ = 395808. Its totient is φ = 60000.

The previous prime is 166099. The next prime is 166147. The reversal of 166100 is 1661.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1025 + ... + 1175.

2166100 is an apocalyptic number.

166100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197904).

166100 is an abundant number, since it is smaller than the sum of its proper divisors (229708).

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

166100 is a wasteful number, since it uses less digits than its factorization.

166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 166100 is about 407.5536774463. The cubic root of 166100 is about 54.9696802585.

Adding to 166100 its reverse (1661), we get a palindrome (167761).

Multiplying 166100 by its reverse (1661), we get a square (275892100 = 166102).

166100 divided by its reverse (1661) gives a square (100 = 102).

It can be divided in two parts, 16 and 6100, that added together give a palindrome (6116).

The spelling of 166100 in words is "one hundred sixty-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 151 220 275 302 550 604 755 1100 1510 1661 3020 3322 3775 6644 7550 8305 15100 16610 33220 41525 83050 166100