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12083616 = 253241957
BaseRepresentation
bin101110000110…
…000110100000
3211201220121100
4232012012200
511043133431
61110554400
7204465126
oct56060640
924656540
1012083616
116903666
124068a00
13267108c
141867916
1510da4e6
hexb861a0

12083616 has 36 divisors (see below), whose sum is σ = 34363602. Its totient is φ = 4027776.

The previous prime is 12083611. The next prime is 12083623. The reversal of 12083616 is 61638021.

It can be written as a sum of positive squares in only one way, i.e., 10112400 + 1971216 = 3180^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12083616.

It is not an unprimeable number, because it can be changed into a prime (12083611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20691 + ... + 21266.

Almost surely, 212083616 is an apocalyptic number.

12083616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12083616 is an abundant number, since it is smaller than the sum of its proper divisors (22279986).

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

12083616 is a wasteful number, since it uses less digits than its factorization.

12083616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41973 (or 41962 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12083616 is about 3476.1495940192. The cubic root of 12083616 is about 229.4733760962.

The spelling of 12083616 in words is "twelve million, eighty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 41957 83914 125871 167828 251742 335656 377613 503484 671312 755226 1006968 1342624 1510452 2013936 3020904 4027872 6041808 12083616