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1660106160 = 2432529433
BaseRepresentation
bin110001011110011…
…0011010110110000
311021200210010112100
41202330303112300
511344441344120
6432421500400
756065445436
oct14274632660
94250703470
101660106160
117820a5369
123a3b71700
13205c1c14b
1411a69cd56
159ab23490
hex62f335b0

1660106160 has 240 divisors, whose sum is σ = 5904756000. Its totient is φ = 417489408.

The previous prime is 1660106159. The next prime is 1660106179. The reversal of 1660106160 is 616010661.

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

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, 38607099 + ... + 38607141.

It is an arithmetic number, because the mean of its divisors is an integer number (24603150).

Almost surely, 21660106160 is an apocalyptic number.

1660106160 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 1660106160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952378000).

1660106160 is an abundant number, since it is smaller than the sum of its proper divisors (4244649840).

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

1660106160 is an equidigital number, since it uses as much as digits as its factorization.

1660106160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1660106160 is about 40744.4003514593. The cubic root of 1660106160 is about 1184.0733876778.

The spelling of 1660106160 in words is "one billion, six hundred sixty million, one hundred six thousand, one hundred sixty".