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166103532 = 2232721729191
BaseRepresentation
bin10011110011010…
…00100111101100
3102120112221012200
421321220213230
5320010303112
624252101500
74054566600
oct1171504754
9376487180
10166103532
1185841051
1247764890
132854991a
14180bb500
15e8b0cdc
hex9e689ec

166103532 has 216 divisors, whose sum is σ = 537788160. Its totient is φ = 42900480.

The previous prime is 166103507. The next prime is 166103533. The reversal of 166103532 is 235301661.

166103532 is a `hidden beast` number, since 16 + 610 + 3 + 5 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 166103496 and 166103505.

It is not an unprimeable number, because it can be changed into a prime (166103533) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 869557 + ... + 869747.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2166103532 is an apocalyptic number.

166103532 is a gapful number since it is divisible by the number (12) 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 166103532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

166103532 is an abundant number, since it is smaller than the sum of its proper divisors (371684628).

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

166103532 is a wasteful number, since it uses less digits than its factorization.

166103532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 166103532 is about 12888.1159212664. The cubic root of 166103532 is about 549.7006988627.

The spelling of 166103532 in words is "one hundred sixty-six million, one hundred three thousand, five hundred thirty-two".