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6659680 = 255107389
BaseRepresentation
bin11001011001111001100000
3110112100100211
4121121321200
53201102210
6354423504
7110414656
oct31317140
913470324
106659680
113839575
122291b94
1314c2351
14c54dd6
158b838a
hex659e60

6659680 has 48 divisors (see below), whose sum is σ = 15921360. Its totient is φ = 2632192.

The previous prime is 6659677. The next prime is 6659683. The reversal of 6659680 is 869566.

It is an interprime number because it is at equal distance from previous prime (6659677) and next prime (6659683).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6659683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16926 + ... + 17314.

It is an arithmetic number, because the mean of its divisors is an integer number (331695).

Almost surely, 26659680 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 6659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960680).

6659680 is an abundant number, since it is smaller than the sum of its proper divisors (9261680).

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

6659680 is a wasteful number, since it uses less digits than its factorization.

6659680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 6659680 is about 2580.6355806274. The cubic root of 6659680 is about 188.1414357446.

The spelling of 6659680 in words is "six million, six hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 389 428 535 778 856 1070 1556 1712 1945 2140 3112 3424 3890 4280 6224 7780 8560 12448 15560 17120 31120 41623 62240 83246 166492 208115 332984 416230 665968 832460 1331936 1664920 3329840 6659680