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11985096 = 2333189181
BaseRepresentation
bin101101101110…
…000011001000
3211112220110110
4231232003020
511032010341
61104514320
7203604654
oct55560310
924486413
1011985096
116846642
12401b9a0
132638296
14183da64
1510bb216
hexb6e0c8

11985096 has 64 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3801600.

The previous prime is 11985073. The next prime is 11985101. The reversal of 11985096 is 69058911.

It is a super-2 number, since 2×119850962 = 287285052258432, which contains 22 as substring.

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, 66126 + ... + 66306.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 211985096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11985096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

11985096 is an abundant number, since it is smaller than the sum of its proper divisors (19464504).

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

11985096 is a wasteful number, since it uses less digits than its factorization.

11985096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 11985096 is about 3461.9497396698. The cubic root of 11985096 is about 228.8480269044.

The spelling of 11985096 in words is "eleven million, nine hundred eighty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 89 93 124 178 181 186 248 267 356 362 372 534 543 712 724 744 1068 1086 1448 2136 2172 2759 4344 5518 5611 8277 11036 11222 16109 16554 16833 22072 22444 32218 33108 33666 44888 48327 64436 66216 67332 96654 128872 134664 193308 386616 499379 998758 1498137 1997516 2996274 3995032 5992548 11985096