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11660680 = 2351967229
BaseRepresentation
bin101100011110…
…110110001000
3210221102110001
4230132312020
510441120210
61053532344
7201054103
oct54366610
923842401
1011660680
116644929
123aa40b4
132553715
14179773a
15105503a
hexb1ed88

11660680 has 64 divisors (see below), whose sum is σ = 28152000. Its totient is φ = 4333824.

The previous prime is 11660669. The next prime is 11660713. The reversal of 11660680 is 8606611.

11660680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50806 + ... + 51034.

It is an arithmetic number, because the mean of its divisors is an integer number (439875).

Almost surely, 211660680 is an apocalyptic number.

11660680 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 11660680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076000).

11660680 is an abundant number, since it is smaller than the sum of its proper divisors (16491320).

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

11660680 is a wasteful number, since it uses less digits than its factorization.

11660680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 11660680 is about 3414.7737846013. The cubic root of 11660680 is about 226.7642697690.

The spelling of 11660680 in words is "eleven million, six hundred sixty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 67 76 95 134 152 190 229 268 335 380 458 536 670 760 916 1145 1273 1340 1832 2290 2546 2680 4351 4580 5092 6365 8702 9160 10184 12730 15343 17404 21755 25460 30686 34808 43510 50920 61372 76715 87020 122744 153430 174040 291517 306860 583034 613720 1166068 1457585 2332136 2915170 5830340 11660680