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66150 = 2335272
BaseRepresentation
bin10000001001100110
310100202000
4100021212
54104100
61230130
7363600
oct201146
9110660
1066150
1145777
1232346
1324156
141a170
1514900
hex10266

66150 has 72 divisors (see below), whose sum is σ = 212040. Its totient is φ = 15120.

The previous prime is 66137. The next prime is 66161. The reversal of 66150 is 5166.

66150 is a `hidden beast` number, since 661 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

66150 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 35 ways as a sum of consecutive naturals, for example, 9447 + ... + 9453.

It is an arithmetic number, because the mean of its divisors is an integer number (2945).

266150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106020).

66150 is an abundant number, since it is smaller than the sum of its proper divisors (145890).

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

66150 is a wasteful number, since it uses less digits than its factorization.

66150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 66150 is about 257.1964229922. The cubic root of 66150 is about 40.4429924966.

It can be divided in two parts, 66 and 150, that added together give a cube (216 = 63).

The spelling of 66150 in words is "sixty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 49 50 54 63 70 75 90 98 105 126 135 147 150 175 189 210 225 245 270 294 315 350 378 441 450 490 525 630 675 735 882 945 1050 1225 1323 1350 1470 1575 1890 2205 2450 2646 3150 3675 4410 4725 6615 7350 9450 11025 13230 22050 33075 66150