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11014272 = 27333187
BaseRepresentation
bin101010000001…
…000010000000
3202201120202000
4222001002000
510304424042
61032024000
7162422403
oct52010200
922646660
1011014272
116243205
123832000
132388429
141669d3a
15e7874c
hexa81080

11014272 has 64 divisors (see below), whose sum is σ = 32517600. Its totient is φ = 3670272.

The previous prime is 11014231. The next prime is 11014273. The reversal of 11014272 is 27241011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11014273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1863 + ... + 5049.

Almost surely, 211014272 is an apocalyptic number.

11014272 is a gapful number since it is divisible by the number (12) 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 11014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16258800).

11014272 is an abundant number, since it is smaller than the sum of its proper divisors (21503328).

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

11014272 is an equidigital number, since it uses as much as digits as its factorization.

11014272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 11014272 is about 3318.7756778668. The cubic root of 11014272 is about 222.4941512581.

Adding to 11014272 its reverse (27241011), we get a palindrome (38255283).

The spelling of 11014272 in words is "eleven million, fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3187 3456 6374 9561 12748 19122 25496 28683 38244 50992 57366 76488 86049 101984 114732 152976 172098 203968 229464 305952 344196 407936 458928 611904 688392 917856 1223808 1376784 1835712 2753568 3671424 5507136 11014272