Search a number
-
+
146280 = 23352353
BaseRepresentation
bin100011101101101000
321102122210
4203231220
514140110
63045120
71146321
oct435550
9242583
10146280
119a9a2
12707a0
1351774
143b448
152d520
hex23b68

146280 has 64 divisors (see below), whose sum is σ = 466560. Its totient is φ = 36608.

The previous prime is 146273. The next prime is 146291. The reversal of 146280 is 82641.

146280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

146280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2734 + ... + 2786.

It is an arithmetic number, because the mean of its divisors is an integer number (7290).

2146280 is an apocalyptic number.

146280 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 146280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233280).

146280 is an abundant number, since it is smaller than the sum of its proper divisors (320280).

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

146280 is a wasteful number, since it uses less digits than its factorization.

146280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

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

The square root of 146280 is about 382.4656847352. The cubic root of 146280 is about 52.6900143949.

The spelling of 146280 in words is "one hundred forty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 53 60 69 92 106 115 120 138 159 184 212 230 265 276 318 345 424 460 530 552 636 690 795 920 1060 1219 1272 1380 1590 2120 2438 2760 3180 3657 4876 6095 6360 7314 9752 12190 14628 18285 24380 29256 36570 48760 73140 146280