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1122560 = 285877
BaseRepresentation
bin100010010000100000000
32010000212022
410102010000
5241410220
640021012
712353525
oct4220400
92100768
101122560
116a743a
12461768
13303c4a
1421314c
15172925
hex112100

1122560 has 36 divisors (see below), whose sum is σ = 2691948. Its totient is φ = 448512.

The previous prime is 1122551. The next prime is 1122571. The reversal of 1122560 is 652211.

It can be written as a sum of positive squares in 2 ways, for example, as 692224 + 430336 = 832^2 + 656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 842 + ... + 1718.

21122560 is an apocalyptic number.

1122560 is a gapful number since it is divisible by the number (10) 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 1122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345974).

1122560 is an abundant number, since it is smaller than the sum of its proper divisors (1569388).

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

1122560 is an frugal number, since it uses more digits than its factorization.

1122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1122560 is about 1059.5093203932. The cubic root of 1122560 is about 103.9289455484.

Adding to 1122560 its reverse (652211), we get a palindrome (1774771).

It can be divided in two parts, 11 and 22560, that multiplied together give a triangular number (248160 = T704).

The spelling of 1122560 in words is "one million, one hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 877 1280 1754 3508 4385 7016 8770 14032 17540 28064 35080 56128 70160 112256 140320 224512 280640 561280 1122560