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11271216 = 2431121347
BaseRepresentation
bin101010111111…
…110000110000
3210012122012110
4222333300300
510341134331
61041325320
7164542455
oct52776060
923178173
1011271216
1163a9260
123936840
132448378
1416d582c
15ec9946
hexabfc30

11271216 has 40 divisors (see below), whose sum is σ = 31765824. Its totient is φ = 3415360.

The previous prime is 11271193. The next prime is 11271223. The reversal of 11271216 is 61217211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11271192 and 11271201.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10146 + ... + 11201.

Almost surely, 211271216 is an apocalyptic number.

11271216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11271216 is an abundant number, since it is smaller than the sum of its proper divisors (20494608).

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

11271216 is a wasteful number, since it uses less digits than its factorization.

11271216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21369 (or 21363 counting only the distinct ones).

The product of its digits is 168, while the sum is 21.

The square root of 11271216 is about 3357.2631710964. The cubic root of 11271216 is about 224.2110044061.

Adding to 11271216 its reverse (61217211), we get a palindrome (72488427).

The spelling of 11271216 in words is "eleven million, two hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 21347 42694 64041 85388 128082 170776 234817 256164 341552 469634 512328 704451 939268 1024656 1408902 1878536 2817804 3757072 5635608 11271216