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12013680 = 243577151
BaseRepresentation
bin101101110101…
…000001110000
3211121100200010
4231311001300
511033414210
61105254520
7204054210
oct55650160
924540603
1012013680
116866068
124034440
1326482b3
14184a240
1510c4920
hexb75070

12013680 has 80 divisors (see below), whose sum is σ = 42568704. Its totient is φ = 2745600.

The previous prime is 12013663. The next prime is 12013699. The reversal of 12013680 is 8631021.

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

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

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 15 ways as a sum of consecutive naturals, for example, 1896 + ... + 5255.

Almost surely, 212013680 is an apocalyptic number.

12013680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013680 is an abundant number, since it is smaller than the sum of its proper divisors (30555024).

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

12013680 is a wasteful number, since it uses less digits than its factorization.

12013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12013680 is about 3466.0755906356. The cubic root of 12013680 is about 229.0298137547.

The spelling of 12013680 in words is "twelve million, thirteen thousand, six 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 7151 14302 21453 28604 35755 42906 50057 57208 71510 85812 100114 107265 114416 143020 150171 171624 200228 214530 250285 286040 300342 343248 400456 429060 500570 572080 600684 750855 800912 858120 1001140 1201368 1501710 1716240 2002280 2402736 3003420 4004560 6006840 12013680