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166001024 = 277319199
BaseRepresentation
bin10011110010011…
…11100110000000
3102120100201121002
421321033212000
5314444013044
624245551132
74053662000
oct1171174600
9376321532
10166001024
1185781032
12477154a8
1328512077
1418092000
15e89074e
hex9e4f980

166001024 has 128 divisors (see below), whose sum is σ = 408000000. Its totient is φ = 67060224.

The previous prime is 166001021. The next prime is 166001057. The reversal of 166001024 is 420100661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 166000987 and 166001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166001021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834077 + ... + 834275.

It is an arithmetic number, because the mean of its divisors is an integer number (3187500).

Almost surely, 2166001024 is an apocalyptic number.

166001024 is a gapful number since it is divisible by the number (14) 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 166001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204000000).

166001024 is an abundant number, since it is smaller than the sum of its proper divisors (241998976).

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

166001024 is an equidigital number, since it uses as much as digits as its factorization.

166001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 166001024 is about 12884.1384655708. The cubic root of 166001024 is about 549.5875960806.

Adding to 166001024 its reverse (420100661), we get a palindrome (586101685).

The spelling of 166001024 in words is "one hundred sixty-six million, one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 199 224 266 304 343 392 398 448 532 608 686 784 796 896 931 1064 1216 1372 1393 1568 1592 1862 2128 2432 2744 2786 3136 3184 3724 3781 4256 5488 5572 6272 6368 6517 7448 7562 8512 9751 10976 11144 12736 13034 14896 15124 17024 19502 21952 22288 25472 26068 26467 29792 30248 39004 43904 44576 52136 52934 59584 60496 68257 78008 89152 104272 105868 119168 120992 136514 156016 178304 185269 208544 211736 241984 273028 312032 370538 417088 423472 483968 546056 624064 741076 834176 846944 1092112 1248128 1296883 1482152 1693888 2184224 2593766 2964304 3387776 4368448 5187532 5928608 8736896 10375064 11857216 20750128 23714432 41500256 83000512 166001024