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166006872 = 23322305651
BaseRepresentation
bin10011110010100…
…01000001011000
3102120101000121200
421321101001120
5314444204442
624250034200
74054015023
oct1171210130
9376330550
10166006872
1185785469
1247718960
1328514925
14180941ba
15e89234c
hex9e51058

166006872 has 24 divisors (see below), whose sum is σ = 449602140. Its totient is φ = 55335600.

The previous prime is 166006871. The next prime is 166006879. The reversal of 166006872 is 278600661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166006871) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1152754 + ... + 1152897.

Almost surely, 2166006872 is an apocalyptic number.

166006872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166006872 is an abundant number, since it is smaller than the sum of its proper divisors (283595268).

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

166006872 is a wasteful number, since it uses less digits than its factorization.

166006872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305663 (or 2305656 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 166006872 is about 12884.3654092858. The cubic root of 166006872 is about 549.5940497566.

The spelling of 166006872 in words is "one hundred sixty-six million, six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2305651 4611302 6916953 9222604 13833906 18445208 20750859 27667812 41501718 55335624 83003436 166006872