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11984910 = 2357231263
BaseRepresentation
bin101101101110…
…000000001110
3211112220012120
4231232000032
511032004120
61104513410
7203604300
oct55560016
924486176
1011984910
116846493
12401b866
132638182
14183d970
1510bb140
hexb6e00e

11984910 has 96 divisors (see below), whose sum is σ = 34670592. Its totient is φ = 2640960.

The previous prime is 11984899. The next prime is 11984911. The reversal of 11984910 is 1948911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11984911) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 45439 + ... + 45701.

It is an arithmetic number, because the mean of its divisors is an integer number (361152).

Almost surely, 211984910 is an apocalyptic number.

11984910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11984910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17335296).

11984910 is an abundant number, since it is smaller than the sum of its proper divisors (22685682).

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

11984910 is a wasteful number, since it uses less digits than its factorization.

11984910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 11984910 is about 3461.9228760907. The cubic root of 11984910 is about 228.8468430465.

The spelling of 11984910 in words is "eleven million, nine hundred eighty-four thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 263 294 310 434 465 490 526 651 735 789 930 1085 1302 1315 1470 1519 1578 1841 2170 2630 3038 3255 3682 3945 4557 5523 6510 7595 7890 8153 9114 9205 11046 12887 15190 16306 18410 22785 24459 25774 27615 38661 40765 45570 48918 55230 57071 64435 77322 81530 114142 122295 128870 171213 193305 244590 285355 342426 386610 399497 570710 798994 856065 1198491 1712130 1997485 2396982 3994970 5992455 11984910