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11110248 = 23321729313
BaseRepresentation
bin101010011000…
…011101101000
3202220110101200
4222120131220
510321011443
61034044200
7163302252
oct52303550
922813350
1011110248
1162a9326
123879660
1323c0016
141692cd2
15e96dd3
hexa98768

11110248 has 96 divisors (see below), whose sum is σ = 33064200. Its totient is φ = 3354624.

The previous prime is 11110237. The next prime is 11110271. The reversal of 11110248 is 84201111.

It can be written as a sum of positive squares in 4 ways, for example, as 7717284 + 3392964 = 2778^2 + 1842^2 .

It is a super-2 number, since 2×111102482 = 246875221243008, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11110248.

It is an unprimeable number.

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, 35340 + ... + 35652.

Almost surely, 211110248 is an apocalyptic number.

11110248 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 11110248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16532100).

11110248 is an abundant number, since it is smaller than the sum of its proper divisors (21953952).

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

11110248 is a wasteful number, since it uses less digits than its factorization.

11110248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11110248 is about 3333.2038641523. The cubic root of 11110248 is about 223.1385385943.

Adding to 11110248 its reverse (84201111), we get a palindrome (95311359).

The spelling of 11110248 in words is "eleven million, one hundred ten thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 29 34 36 51 58 68 72 87 102 116 136 153 174 204 232 261 306 313 348 408 493 522 612 626 696 939 986 1044 1224 1252 1479 1878 1972 2088 2504 2817 2958 3756 3944 4437 5321 5634 5916 7512 8874 9077 10642 11268 11832 15963 17748 18154 21284 22536 27231 31926 35496 36308 42568 47889 54462 63852 72616 81693 95778 108924 127704 154309 163386 191556 217848 308618 326772 383112 462927 617236 653544 925854 1234472 1388781 1851708 2777562 3703416 5555124 11110248