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133860 = 22352397
BaseRepresentation
bin100000101011100100
320210121210
4200223210
513240420
62511420
71065156
oct405344
9223553
10133860
1191631
1265570
1348c0c
1436ad6
15299e0
hex20ae4

133860 has 48 divisors (see below), whose sum is σ = 395136. Its totient is φ = 33792.

The previous prime is 133853. The next prime is 133873. The reversal of 133860 is 68331.

133860 = 652 + 662 + ... + 872.

It is an unprimeable number.

133860 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332 + ... + 1428.

It is an arithmetic number, because the mean of its divisors is an integer number (8232).

2133860 is an apocalyptic number.

133860 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 133860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197568).

133860 is an abundant number, since it is smaller than the sum of its proper divisors (261276).

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

133860 is a wasteful number, since it uses less digits than its factorization.

133860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 133860 is about 365.8688289538. The cubic root of 133860 is about 51.1544720603.

The spelling of 133860 in words is "one hundred thirty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 97 115 138 194 230 276 291 345 388 460 485 582 690 970 1164 1380 1455 1940 2231 2910 4462 5820 6693 8924 11155 13386 22310 26772 33465 44620 66930 133860