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1122944 = 2731283
BaseRepresentation
bin100010010001010000000
32010001101112
410102022000
5241413234
640022452
712354614
oct4221200
92101345
101122944
116a7759
12461a28
13304184
14213344
15172ace
hex112280

1122944 has 32 divisors (see below), whose sum is σ = 2317440. Its totient is φ = 541440.

The previous prime is 1122941. The next prime is 1122983. The reversal of 1122944 is 4492211.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×11229442 = 2522006454272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122941) 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 3 ways as a sum of consecutive naturals, for example, 3827 + ... + 4109.

It is an arithmetic number, because the mean of its divisors is an integer number (72420).

21122944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158720).

1122944 is an abundant number, since it is smaller than the sum of its proper divisors (1194496).

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

1122944 is an equidigital number, since it uses as much as digits as its factorization.

1122944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 1122944 is about 1059.6905208597. The cubic root of 1122944 is about 103.9407947043.

The spelling of 1122944 in words is "one million, one hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 283 496 566 992 1132 1984 2264 3968 4528 8773 9056 17546 18112 35092 36224 70184 140368 280736 561472 1122944