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660192 = 25313232
BaseRepresentation
bin10100001001011100000
31020112121120
42201023200
5132111232
622052240
75416521
oct2411340
91215546
10660192
11411015
1227a080
131a1660
14132848
15d092c
hexa12e0

660192 has 72 divisors (see below), whose sum is σ = 1950984. Its totient is φ = 194304.

The previous prime is 660181. The next prime is 660197. The reversal of 660192 is 291066.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (660197) by changing a digit.

660192 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28693 + ... + 28715.

It is an arithmetic number, because the mean of its divisors is an integer number (27097).

2660192 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 660192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975492).

660192 is an abundant number, since it is smaller than the sum of its proper divisors (1290792).

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

660192 is a wasteful number, since it uses less digits than its factorization.

660192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 660192 is about 812.5219997022. The cubic root of 660192 is about 87.0743188449.

The spelling of 660192 in words is "six hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 529 552 598 624 736 897 1058 1104 1196 1248 1587 1794 2116 2208 2392 3174 3588 4232 4784 6348 6877 7176 8464 9568 12696 13754 14352 16928 20631 25392 27508 28704 41262 50784 55016 82524 110032 165048 220064 330096 660192