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166397088 = 2531113172331
BaseRepresentation
bin10011110101100…
…00010010100000
3102121002211220010
421322300102200
5320044201323
624302244520
74060231464
oct1172602240
9377084803
10166397088
1185a21660
1247886740
1328620420
14181564a4
15e91cc93
hex9eb04a0

166397088 has 384 divisors, whose sum is σ = 585252864. Its totient is φ = 40550400.

The previous prime is 166397069. The next prime is 166397093. The reversal of 166397088 is 880793661.

166397088 is digitally balanced in base 3, 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 (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5367633 + ... + 5367663.

It is an arithmetic number, because the mean of its divisors is an integer number (1524096).

Almost surely, 2166397088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166397088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292626432).

166397088 is an abundant number, since it is smaller than the sum of its proper divisors (418855776).

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

166397088 is a wasteful number, since it uses less digits than its factorization.

166397088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 166397088 is about 12899.4995251754. The cubic root of 166397088 is about 550.0243383169.

The spelling of 166397088 in words is "one hundred sixty-six million, three hundred ninety-seven thousand, eighty-eight".