Search a number
-
+
166630608 = 24341967101
BaseRepresentation
bin10011110111010…
…01010011010000
3102121112201020000
421323221103100
5320124134413
624311250000
74062223344
oct1173512320
9377481200
10166630608
1186071051
1247979900
13286a27c1
14181b7624
15e967073
hex9ee94d0

166630608 has 200 divisors, whose sum is σ = 520338720. Its totient is φ = 51321600.

The previous prime is 166630567. The next prime is 166630613. The reversal of 166630608 is 806036661.

166630608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1649758 + ... + 1649858.

Almost surely, 2166630608 is an apocalyptic number.

166630608 is a gapful number since it is divisible by the number (18) 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 166630608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260169360).

166630608 is an abundant number, since it is smaller than the sum of its proper divisors (353708112).

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

166630608 is a wasteful number, since it uses less digits than its factorization.

166630608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 166630608 is about 12908.5478656586. The cubic root of 166630608 is about 550.2815175886.

The spelling of 166630608 in words is "one hundred sixty-six million, six hundred thirty thousand, six hundred eight".