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11249028 = 223273911
BaseRepresentation
bin101010111010…
…010110000100
3210011111202200
4222322112010
510334432103
61041034500
7164421000
oct52722604
923144680
1011249028
11639361a
123925a30
13243b23b
1416cb700
15ec30a3
hexaba584

11249028 has 72 divisors (see below), whose sum is σ = 33196800. Its totient is φ = 3210480.

The previous prime is 11249023. The next prime is 11249033. The reversal of 11249028 is 82094211.

It is an interprime number because it is at equal distance from previous prime (11249023) and next prime (11249033).

It is a junction number, because it is equal to n+sod(n) for n = 11248992 and 11249010.

It is not an unprimeable number, because it can be changed into a prime (11249023) 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 23 ways as a sum of consecutive naturals, for example, 11893 + ... + 12803.

Almost surely, 211249028 is an apocalyptic number.

11249028 is a gapful number since it is divisible by the number (18) 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 11249028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16598400).

11249028 is an abundant number, since it is smaller than the sum of its proper divisors (21947772).

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

11249028 is a wasteful number, since it uses less digits than its factorization.

11249028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11249028 is about 3353.9570659148. The cubic root of 11249028 is about 224.0637839192.

The spelling of 11249028 in words is "eleven million, two hundred forty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 911 1029 1372 1764 1822 2058 2733 3087 3644 4116 5466 6174 6377 8199 10932 12348 12754 16398 19131 25508 32796 38262 44639 57393 76524 89278 114786 133917 178556 229572 267834 312473 401751 535668 624946 803502 937419 1249892 1607004 1874838 2812257 3749676 5624514 11249028