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966150 = 2325219113
BaseRepresentation
bin11101011111000000110
31211002022100
43223320012
5221404100
632412530
711132523
oct3537006
91732270
10966150
115aa979
123a7146
1327a9b3
141b214a
15141400
hexebe06

966150 has 72 divisors (see below), whose sum is σ = 2756520. Its totient is φ = 241920.

The previous prime is 966149. The next prime is 966157. The reversal of 966150 is 51669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8494 + ... + 8606.

It is an arithmetic number, because the mean of its divisors is an integer number (38285).

2966150 is an apocalyptic number.

966150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 966150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378260).

966150 is an abundant number, since it is smaller than the sum of its proper divisors (1790370).

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

966150 is a wasteful number, since it uses less digits than its factorization.

966150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 966150 is about 982.9292955244. The cubic root of 966150 is about 98.8586903446.

The spelling of 966150 in words is "nine hundred sixty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 113 114 150 171 190 225 226 285 339 342 450 475 565 570 678 855 950 1017 1130 1425 1695 1710 2034 2147 2825 2850 3390 4275 4294 5085 5650 6441 8475 8550 10170 10735 12882 16950 19323 21470 25425 32205 38646 50850 53675 64410 96615 107350 161025 193230 322050 483075 966150