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166668840 = 23355131319
BaseRepresentation
bin10011110111100…
…10101000101000
3102121121122200000
421323302220220
5320131400330
624312143000
74062442662
oct1173625050
9377548600
10166668840
1186097848
1247997a60
13286b7020
14181c7532
15e973560
hex9ef2a28

166668840 has 192 divisors, whose sum is σ = 605404800. Its totient is φ = 40995072.

The previous prime is 166668823. The next prime is 166668841. The reversal of 166668840 is 48866661.

166668840 is digitally balanced in base 2 and base 3, because in such bases 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 (45).

It is not an unprimeable number, because it can be changed into a prime (166668841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125701 + ... + 127019.

It is an arithmetic number, because the mean of its divisors is an integer number (3153150).

Almost surely, 2166668840 is an apocalyptic number.

166668840 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 166668840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302702400).

166668840 is an abundant number, since it is smaller than the sum of its proper divisors (438735960).

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

166668840 is a wasteful number, since it uses less digits than its factorization.

166668840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 166668840 is about 12910.0286599217. The cubic root of 166668840 is about 550.3236002016.

The spelling of 166668840 in words is "one hundred sixty-six million, six hundred sixty-eight thousand, eight hundred forty".