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166330032 = 243111013119
BaseRepresentation
bin10011110100111…
…11111010110000
3102120222102220120
421322133322300
5320040030112
624301010240
74056532131
oct1172377260
9376872816
10166330032
1185986240
1247853980
13285c8a4b
1418139c88
15e907e8c
hex9e9feb0

166330032 has 80 divisors (see below), whose sum is σ = 473541120. Its totient is φ = 49888000.

The previous prime is 166330019. The next prime is 166330033. The reversal of 166330032 is 230033661.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 166329984 and 166330011.

It is not an unprimeable number, because it can be changed into a prime (166330033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51769 + ... + 54887.

It is an arithmetic number, because the mean of its divisors is an integer number (5919264).

Almost surely, 2166330032 is an apocalyptic number.

166330032 is a gapful number since it is divisible by the number (12) 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 166330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236770560).

166330032 is an abundant number, since it is smaller than the sum of its proper divisors (307211088).

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

166330032 is a wasteful number, since it uses less digits than its factorization.

166330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 166330032 is about 12896.9000926579. The cubic root of 166330032 is about 549.9504440199.

Adding to 166330032 its reverse (230033661), we get a palindrome (396363693).

The spelling of 166330032 in words is "one hundred sixty-six million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3119 3333 4444 4848 6238 6666 8888 9357 12476 13332 17776 18714 24952 26664 34309 37428 49904 53328 68618 74856 102927 137236 149712 205854 274472 315019 411708 548944 630038 823416 945057 1260076 1646832 1890114 2520152 3465209 3780228 5040304 6930418 7560456 10395627 13860836 15120912 20791254 27721672 41582508 55443344 83165016 166330032