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660120216 = 233719320359
BaseRepresentation
bin100111010110001…
…010001010011000
31201000010120200220
4213112022022120
52322442321331
6145300400040
722233633510
oct4726121230
91630116626
10660120216
113096910a8
121650a6020
13a69b84a2
1463956840
153ce46296
hex2758a298

660120216 has 64 divisors (see below), whose sum is σ = 1895923200. Its totient is φ = 187619328.

The previous prime is 660120193. The next prime is 660120233. The reversal of 660120216 is 612021066.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 22245 + ... + 42603.

It is an arithmetic number, because the mean of its divisors is an integer number (29623800).

Almost surely, 2660120216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660120216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947961600).

660120216 is an abundant number, since it is smaller than the sum of its proper divisors (1235802984).

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

660120216 is a wasteful number, since it uses less digits than its factorization.

660120216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20568 (or 20564 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 660120216 is about 25692.8047515253. The cubic root of 660120216 is about 870.7116280872.

The spelling of 660120216 in words is "six hundred sixty million, one hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 193 386 579 772 1158 1351 1544 2316 2702 4053 4632 5404 8106 10808 16212 20359 32424 40718 61077 81436 122154 142513 162872 244308 285026 427539 488616 570052 855078 1140104 1710156 3420312 3929287 7858574 11787861 15717148 23575722 27505009 31434296 47151444 55010018 82515027 94302888 110020036 165030054 220040072 330060108 660120216