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166400 = 295213
BaseRepresentation
bin101000101000000000
322110020222
4220220000
520311100
63322212
71262063
oct505000
9273228
10166400
11104023
1280368
135a980
14448da
1534485
hex28a00

166400 has 60 divisors (see below), whose sum is σ = 443982. Its totient is φ = 61440.

The previous prime is 166399. The next prime is 166403. The reversal of 166400 is 4661.

It can be written as a sum of positive squares in 3 ways, for example, as 92416 + 73984 = 304^2 + 272^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (166403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12794 + ... + 12806.

2166400 is an apocalyptic number.

166400 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 166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221991).

166400 is an abundant number, since it is smaller than the sum of its proper divisors (277582).

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

166400 is an equidigital number, since it uses as much as digits as its factorization.

166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 166400 is about 407.9215610874. The cubic root of 166400 is about 55.0027546830.

It can be divided in two parts, 16 and 6400, that multiplied together give a square (102400 = 3202).

The spelling of 166400 in words is "one hundred sixty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 512 520 640 650 800 832 1040 1280 1300 1600 1664 2080 2560 2600 3200 3328 4160 5200 6400 6656 8320 10400 12800 16640 20800 33280 41600 83200 166400