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166232540 = 225311971361
BaseRepresentation
bin10011110100010…
…00000111011100
3102120210111011202
421322020013130
5320023420130
624254535032
74055644655
oct1172100734
9376714152
10166232540
1185919a71
1247807478
1328593566
141811252c
15e8d9145
hex9e881dc

166232540 has 48 divisors (see below), whose sum is σ = 362444544. Its totient is φ = 63974400.

The previous prime is 166232419. The next prime is 166232543. The reversal of 166232540 is 45232661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166232543) 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, 121460 + ... + 122820.

It is an arithmetic number, because the mean of its divisors is an integer number (7550928).

Almost surely, 2166232540 is an apocalyptic number.

166232540 is a gapful number since it is divisible by the number (10) 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 166232540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181222272).

166232540 is an abundant number, since it is smaller than the sum of its proper divisors (196212004).

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

166232540 is a wasteful number, since it uses less digits than its factorization.

166232540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 166232540 is about 12893.1198706907. The cubic root of 166232540 is about 549.8429744571.

The spelling of 166232540 in words is "one hundred sixty-six million, two hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 197 310 394 620 788 985 1361 1970 2722 3940 5444 6107 6805 12214 13610 24428 27220 30535 42191 61070 84382 122140 168764 210955 268117 421910 536234 843820 1072468 1340585 2681170 5362340 8311627 16623254 33246508 41558135 83116270 166232540