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166125460 = 2258306273
BaseRepresentation
bin10011110011011…
…01111110010100
3102120121001021211
421321231332110
5320012003320
624252351204
74055020534
oct1171557624
9376531254
10166125460
1185856576
1247775504
13285568b7
14180c54c4
15e8b755a
hex9e6df94

166125460 has 12 divisors (see below), whose sum is σ = 348863508. Its totient is φ = 66450176.

The previous prime is 166125437. The next prime is 166125461. The reversal of 166125460 is 64521661.

It can be written as a sum of positive squares in 2 ways, for example, as 67043344 + 99082116 = 8188^2 + 9954^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166125461) 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 3 ways as a sum of consecutive naturals, for example, 4153117 + ... + 4153156.

It is an arithmetic number, because the mean of its divisors is an integer number (29071959).

Almost surely, 2166125460 is an apocalyptic number.

166125460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166125460 is an abundant number, since it is smaller than the sum of its proper divisors (182738048).

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

166125460 is a wasteful number, since it uses less digits than its factorization.

166125460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306282 (or 8306280 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 166125460 is about 12888.9665993826. The cubic root of 166125460 is about 549.7248872035.

The spelling of 166125460 in words is "one hundred sixty-six million, one hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 8306273 16612546 33225092 41531365 83062730 166125460