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164400 = 24352137
BaseRepresentation
bin101000001000110000
322100111220
4220020300
520230100
63305040
71253205
oct501060
9270456
10164400
11102575
127b180
1359aa2
1443cac
1533aa0
hex28230

164400 has 60 divisors (see below), whose sum is σ = 530472. Its totient is φ = 43520.

The previous prime is 164387. The next prime is 164413. The reversal of 164400 is 4461.

Adding to 164400 its reverse (4461), we get a palindrome (168861).

It is an interprime number because it is at equal distance from previous prime (164387) and next prime (164413).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 164400.

It is an unprimeable number.

164400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1132 + ... + 1268.

2164400 is an apocalyptic number.

164400 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 164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265236).

164400 is an abundant number, since it is smaller than the sum of its proper divisors (366072).

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

164400 is a wasteful number, since it uses less digits than its factorization.

164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 164400 is about 405.4626986543. The cubic root of 164400 is about 54.7815022726.

The spelling of 164400 in words is "one hundred sixty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 137 150 200 240 274 300 400 411 548 600 685 822 1096 1200 1370 1644 2055 2192 2740 3288 3425 4110 5480 6576 6850 8220 10275 10960 13700 16440 20550 27400 32880 41100 54800 82200 164400