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166960080 = 243257157211
BaseRepresentation
bin10011111001110…
…01101111010000
3102122011110011200
421330321233100
5320220210310
624322311200
74065065040
oct1174715720
9378143150
10166960080
1186276641
1247ab8500
1328789761
1418261720
15e9ce9c0
hex9f39bd0

166960080 has 240 divisors, whose sum is σ = 647946624. Its totient is φ = 37739520.

The previous prime is 166960063. The next prime is 166960097. The reversal of 166960080 is 80069661.

It is an interprime number because it is at equal distance from previous prime (166960063) and next prime (166960097).

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 791175 + ... + 791385.

Almost surely, 2166960080 is an apocalyptic number.

166960080 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 166960080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323973312).

166960080 is an abundant number, since it is smaller than the sum of its proper divisors (480986544).

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

166960080 is a wasteful number, since it uses less digits than its factorization.

166960080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 166960080 is about 12921.3033398338. The cubic root of 166960080 is about 550.6439619828.

The spelling of 166960080 in words is "one hundred sixty-six million, nine hundred sixty thousand, eighty".