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12119680 = 27529653
BaseRepresentation
bin101110001110…
…111010000000
3211210202002001
4232032322000
511100312210
61111433344
7205005226
oct56167200
924722061
1012119680
116928771
124085854
132684611
141876b16
1510e603a
hexb8ee80

12119680 has 64 divisors (see below), whose sum is σ = 30018600. Its totient is φ = 4673536.

The previous prime is 12119677. The next prime is 12119693. The reversal of 12119680 is 8691121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8340544 + 3779136 = 2888^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 18234 + ... + 18886.

Almost surely, 212119680 is an apocalyptic number.

12119680 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 12119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15009300).

12119680 is an abundant number, since it is smaller than the sum of its proper divisors (17898920).

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

12119680 is an equidigital number, since it uses as much as digits as its factorization.

12119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 12119680 is about 3481.3330780033. Note that the first 3 decimals coincide. The cubic root of 12119680 is about 229.7014399579.

The spelling of 12119680 in words is "twelve million, one hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 653 928 1160 1306 1856 2320 2612 3265 3712 4640 5224 6530 9280 10448 13060 18560 18937 20896 26120 37874 41792 52240 75748 83584 94685 104480 151496 189370 208960 302992 378740 417920 605984 757480 1211968 1514960 2423936 3029920 6059840 12119680