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665660160 = 283351117103
BaseRepresentation
bin100111101011010…
…010101100000000
31201101120001002000
4213223102230000
52330402111120
6150015224000
722332006114
oct4753225400
91641501060
10665660160
11311825370
12166b18000
13a7ba7c69
1464599744
153d68c990
hex27ad2b00

665660160 has 576 divisors, whose sum is σ = 2754984960. Its totient is φ = 150405120.

The previous prime is 665660159. The next prime is 665660183. The reversal of 665660160 is 61066566.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6656601602 = 886206897222451200, which contains 22 as substring.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6462669 + ... + 6462771.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2665660160 is an apocalyptic number.

665660160 is a gapful number since it is divisible by the number (60) 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 665660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377492480).

665660160 is an abundant number, since it is smaller than the sum of its proper divisors (2089324800).

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

665660160 is a wasteful number, since it uses less digits than its factorization.

665660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 665660160 is about 25800.3906947162. The cubic root of 665660160 is about 873.1406110233.

The spelling of 665660160 in words is "six hundred sixty-five million, six hundred sixty thousand, one hundred sixty".