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11660480 = 265132803
BaseRepresentation
bin101100011110…
…110011000000
3210221102011122
4230132303000
510441113410
61053531412
7201053366
oct54366300
923842148
1011660480
116644767
123aa3b68
1325535c0
141797636
151054e55
hexb1ecc0

11660480 has 56 divisors (see below), whose sum is σ = 29913072. Its totient is φ = 4303872.

The previous prime is 11660459. The next prime is 11660489. The reversal of 11660480 is 8406611.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (11660489) 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, 2759 + ... + 5561.

It is an arithmetic number, because the mean of its divisors is an integer number (534162).

Almost surely, 211660480 is an apocalyptic number.

11660480 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 11660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14956536).

11660480 is an abundant number, since it is smaller than the sum of its proper divisors (18252592).

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

11660480 is a wasteful number, since it uses less digits than its factorization.

11660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 11660480 is about 3414.7444999590. The cubic root of 11660480 is about 226.7629733005.

The spelling of 11660480 in words is "eleven million, six hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 2803 4160 5606 11212 14015 22424 28030 36439 44848 56060 72878 89696 112120 145756 179392 182195 224240 291512 364390 448480 583024 728780 896960 1166048 1457560 2332096 2915120 5830240 11660480