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164280 = 2335372
BaseRepresentation
bin101000000110111000
322100100110
4220012320
520224110
63304320
71252644
oct500670
9270313
10164280
11102476
127b0a0
1359a0c
1443c24
1533a20
hex281b8

164280 has 48 divisors (see below), whose sum is σ = 506520. Its totient is φ = 42624.

The previous prime is 164279. The next prime is 164291. The reversal of 164280 is 82461.

164280 is a Rhonda number in base 16.

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, 4422 + ... + 4458.

2164280 is an apocalyptic number.

164280 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 164280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253260).

164280 is an abundant number, since it is smaller than the sum of its proper divisors (342240).

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

164280 is a wasteful number, since it uses less digits than its factorization.

164280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 164280 is about 405.3146925538. The cubic root of 164280 is about 54.7681701956.

It can be divided in two parts, 164 and 280, that added together give a palindrome (444).

The spelling of 164280 in words is "one hundred sixty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1369 1480 2220 2738 4107 4440 5476 6845 8214 10952 13690 16428 20535 27380 32856 41070 54760 82140 164280