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11984976 = 243327743
BaseRepresentation
bin101101101110…
…000001010000
3211112220022000
4231232001100
511032004401
61104514000
7203604423
oct55560120
924486260
1011984976
116846543
12401b900
132638203
14183d9ba
1510bb186
hexb6e050

11984976 has 40 divisors (see below), whose sum is σ = 34402560. Its totient is φ = 3994848.

The previous prime is 11984971. The next prime is 11985019. The reversal of 11984976 is 67948911.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11984971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13440 + ... + 14303.

It is an arithmetic number, because the mean of its divisors is an integer number (860064).

Almost surely, 211984976 is an apocalyptic number.

11984976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11984976 is an abundant number, since it is smaller than the sum of its proper divisors (22417584).

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

11984976 is a wasteful number, since it uses less digits than its factorization.

11984976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27760 (or 27748 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 11984976 is about 3461.9324083523. The cubic root of 11984976 is about 228.8472631265.

The spelling of 11984976 in words is "eleven million, nine hundred eighty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 27743 55486 83229 110972 166458 221944 249687 332916 443888 499374 665832 749061 998748 1331664 1498122 1997496 2996244 3994992 5992488 11984976