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11984640 = 28353121
BaseRepresentation
bin101101101101…
…111100000000
3211112212211120
4231231330000
511032002030
61104512240
7203603433
oct55557400
924485746
1011984640
116846268
12401b680
132638005
14183d81a
1510bb010
hexb6df00

11984640 has 72 divisors (see below), whose sum is σ = 38288208. Its totient is φ = 3194880.

The previous prime is 11984639. The next prime is 11984653. The reversal of 11984640 is 4648911.

11984640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2280 + ... + 5400.

Almost surely, 211984640 is an apocalyptic number.

11984640 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 11984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19144104).

11984640 is an abundant number, since it is smaller than the sum of its proper divisors (26303568).

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

11984640 is an equidigital number, since it uses as much as digits as its factorization.

11984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 11984640 is about 3461.8838802016. The cubic root of 11984640 is about 228.8451245212.

The spelling of 11984640 in words is "eleven million, nine hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3121 3840 6242 9363 12484 15605 18726 24968 31210 37452 46815 49936 62420 74904 93630 99872 124840 149808 187260 199744 249680 299616 374520 399488 499360 599232 749040 798976 998720 1198464 1498080 1997440 2396928 2996160 3994880 5992320 11984640