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11984420 = 225731747
BaseRepresentation
bin101101101101…
…111000100100
3211112212112102
4231231320210
511032000140
61104511232
7203603000
oct55557044
924485472
1011984420
116846088
12401b518
132637b96
14183d700
1510bae15
hexb6de24

11984420 has 48 divisors (see below), whose sum is σ = 29366400. Its totient is φ = 4106592.

The previous prime is 11984419. The next prime is 11984429. The reversal of 11984420 is 2448911.

It is not an unprimeable number, because it can be changed into a prime (11984429) 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 15 ways as a sum of consecutive naturals, for example, 5987 + ... + 7733.

It is an arithmetic number, because the mean of its divisors is an integer number (611800).

Almost surely, 211984420 is an apocalyptic number.

11984420 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 11984420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14683200).

11984420 is an abundant number, since it is smaller than the sum of its proper divisors (17381980).

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

11984420 is a wasteful number, since it uses less digits than its factorization.

11984420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 11984420 is about 3461.8521054488. The cubic root of 11984420 is about 228.8437242223.

The spelling of 11984420 in words is "eleven million, nine hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 1747 3430 3494 6860 6988 8735 12229 17470 24458 34940 48916 61145 85603 122290 171206 244580 342412 428015 599221 856030 1198442 1712060 2396884 2996105 5992210 11984420