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12114480 = 243577211
BaseRepresentation
bin101110001101…
…101000110000
3211210110221110
4232031220300
511100130410
61111353320
7204654120
oct56155060
924713843
1012114480
116924874
124082840
132682141
141874c80
1510e4720
hexb8da30

12114480 has 80 divisors (see below), whose sum is σ = 42925824. Its totient is φ = 2768640.

The previous prime is 12114463. The next prime is 12114481. The reversal of 12114480 is 8441121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×121144803 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12114481) 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 15 ways as a sum of consecutive naturals, for example, 1926 + ... + 5285.

Almost surely, 212114480 is an apocalyptic number.

12114480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114480 is an abundant number, since it is smaller than the sum of its proper divisors (30811344).

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

12114480 is a wasteful number, since it uses less digits than its factorization.

12114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 12114480 is about 3480.5861575315. The cubic root of 12114480 is about 229.6685838001.

The spelling of 12114480 in words is "twelve million, one hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 7211 14422 21633 28844 36055 43266 50477 57688 72110 86532 100954 108165 115376 144220 151431 173064 201908 216330 252385 288440 302862 346128 403816 432660 504770 576880 605724 757155 807632 865320 1009540 1211448 1514310 1730640 2019080 2422896 3028620 4038160 6057240 12114480