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1233056 = 251131113
BaseRepresentation
bin100101101000010100000
32022122102202
410231002200
5303424211
642232332
713323626
oct4550240
92278382
101233056
11772460
124b56a8
13342326
14241516
1519553b
hex12d0a0

1233056 has 48 divisors (see below), whose sum is σ = 2757888. Its totient is φ = 537600.

The previous prime is 1233047. The next prime is 1233073. The reversal of 1233056 is 6503321.

Together with 1524831 it forms a betrothed pair.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10856 + ... + 10968.

It is an arithmetic number, because the mean of its divisors is an integer number (57456).

21233056 is an apocalyptic number.

1233056 is a gapful number since it is divisible by the number (16) 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 1233056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944).

1233056 is an abundant number, since it is smaller than the sum of its proper divisors (1524832).

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

1233056 is a wasteful number, since it uses less digits than its factorization.

1233056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1233056 is about 1110.4305471303. The cubic root of 1233056 is about 107.2327886632.

Adding to 1233056 its reverse (6503321), we get a palindrome (7736377).

The spelling of 1233056 in words is "one million, two hundred thirty-three thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 113 124 176 226 248 341 352 452 496 682 904 992 1243 1364 1808 2486 2728 3503 3616 4972 5456 7006 9944 10912 14012 19888 28024 38533 39776 56048 77066 112096 154132 308264 616528 1233056