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11122944 = 28372069
BaseRepresentation
bin101010011011…
…100100000000
3202221002210220
4222123210000
510321413234
61034223040
7163354260
oct52334400
922832726
1011122944
116307918
123884a80
1323c5a31
1416977a0
15e9aa49
hexa9b900

11122944 has 72 divisors (see below), whose sum is σ = 33848640. Its totient is φ = 3176448.

The previous prime is 11122927. The next prime is 11122949. The reversal of 11122944 is 44922111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11122949) 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, 4342 + ... + 6410.

It is an arithmetic number, because the mean of its divisors is an integer number (470120).

Almost surely, 211122944 is an apocalyptic number.

11122944 is a gapful number since it is divisible by the number (14) 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 11122944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924320).

11122944 is an abundant number, since it is smaller than the sum of its proper divisors (22725696).

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

11122944 is an equidigital number, since it uses as much as digits as its factorization.

11122944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2081 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 11122944 is about 3335.1077943599. The cubic root of 11122944 is about 223.2235018482.

The spelling of 11122944 in words is "eleven million, one hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2069 2688 4138 5376 6207 8276 12414 14483 16552 24828 28966 33104 43449 49656 57932 66208 86898 99312 115864 132416 173796 198624 231728 264832 347592 397248 463456 529664 695184 794496 926912 1390368 1588992 1853824 2780736 3707648 5561472 11122944