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161106660 = 2232511213569
BaseRepresentation
bin10011001101001…
…00101011100100
3102020011001210100
421212210223210
5312220403120
623553024100
73664245501
oct1146445344
9366131710
10161106660
1182a38900
1245b55030
13274ba3b0
141757a4a8
15e225490
hex99a4ae4

161106660 has 216 divisors, whose sum is σ = 579491640. Its totient is φ = 35988480.

The previous prime is 161106613. The next prime is 161106661. The reversal of 161106660 is 66601161.

It can be written as a sum of positive squares in 4 ways, for example, as 527076 + 160579584 = 726^2 + 12672^2 .

It is not an unprimeable number, because it can be changed into a prime (161106661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 282856 + ... + 283424.

Almost surely, 2161106660 is an apocalyptic number.

161106660 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 161106660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289745820).

161106660 is an abundant number, since it is smaller than the sum of its proper divisors (418384980).

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

161106660 is a wasteful number, since it uses less digits than its factorization.

161106660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 603 counting only the distinct ones).

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

The square root of 161106660 is about 12692.7798373721. The cubic root of 161106660 is about 544.1322892303.

The spelling of 161106660 in words is "one hundred sixty-one million, one hundred six thousand, six hundred sixty".