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12016480 = 255710729
BaseRepresentation
bin101101110101…
…101101100000
3211121111111211
4231311231200
511034011410
61105315504
7204065320
oct55655540
924544454
1012016480
116868183
124035b94
132649658
14184b280
1510c568a
hexb75b60

12016480 has 48 divisors (see below), whose sum is σ = 32447520. Its totient is φ = 4119552.

The previous prime is 12016441. The next prime is 12016481. The reversal of 12016480 is 8461021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12016481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4245 + ... + 6484.

It is an arithmetic number, because the mean of its divisors is an integer number (675990).

Almost surely, 212016480 is an apocalyptic number.

12016480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12016480 is an abundant number, since it is smaller than the sum of its proper divisors (20431040).

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

12016480 is a wasteful number, since it uses less digits than its factorization.

12016480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10751 (or 10743 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 12016480 is about 3466.4794821259. The cubic root of 12016480 is about 229.0476055183.

The spelling of 12016480 in words is "twelve million, sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 10729 21458 42916 53645 75103 85832 107290 150206 171664 214580 300412 343328 375515 429160 600824 751030 858320 1201648 1502060 1716640 2403296 3004120 6008240 12016480