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166703040 = 2632578269
BaseRepresentation
bin10011110111110…
…10111111000000
3102121200101120200
421323322333000
5320133444130
624313005200
74062644460
oct1173727700
9377611520
10166703040
1186110509
12479b3800
13286c976a
14181d5ba0
15e97d760
hex9efafc0

166703040 has 168 divisors, whose sum is σ = 655380960. Its totient is φ = 38098944.

The previous prime is 166703039. The next prime is 166703041. The reversal of 166703040 is 40307661.

It is an interprime number because it is at equal distance from previous prime (166703039) and next prime (166703041).

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 166702995 and 166703013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166703041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16026 + ... + 24294.

Almost surely, 2166703040 is an apocalyptic number.

166703040 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 166703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327690480).

166703040 is an abundant number, since it is smaller than the sum of its proper divisors (488677920).

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

166703040 is a wasteful number, since it uses less digits than its factorization.

166703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8299 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 166703040 is about 12911.3531436484. The cubic root of 166703040 is about 550.3612392706.

The spelling of 166703040 in words is "one hundred sixty-six million, seven hundred three thousand, forty".