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166950 = 23252753
BaseRepresentation
bin101000110000100110
322111000100
4220300212
520320300
63324530
71263510
oct506046
9274010
10166950
11104483
1280746
135acb4
1444bb0
1534700
hex28c26

166950 has 72 divisors (see below), whose sum is σ = 522288. Its totient is φ = 37440.

The previous prime is 166949. The next prime is 166967. The reversal of 166950 is 59661.

166950 = 282 + 292 + ... + 802.

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 35 ways as a sum of consecutive naturals, for example, 3124 + ... + 3176.

It is an arithmetic number, because the mean of its divisors is an integer number (7254).

2166950 is an apocalyptic number.

166950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261144).

166950 is an abundant number, since it is smaller than the sum of its proper divisors (355338).

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

166950 is a wasteful number, since it uses less digits than its factorization.

166950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

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

The square root of 166950 is about 408.5951541563. The cubic root of 166950 is about 55.0632880286.

The spelling of 166950 in words is "one hundred sixty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 53 63 70 75 90 105 106 126 150 159 175 210 225 265 315 318 350 371 450 477 525 530 630 742 795 954 1050 1113 1325 1575 1590 1855 2226 2385 2650 3150 3339 3710 3975 4770 5565 6678 7950 9275 11130 11925 16695 18550 23850 27825 33390 55650 83475 166950